%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW098+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:29:42 PM UTC 2026
% Result : Theorem 141.84s 27.84s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 131
% Syntax : Number of formulae : 1775 ( 122 unt; 102 def)
% Number of atoms : 6548 (1582 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 8335 (3562 ~;4630 |; 35 &)
% ( 97 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 98 ( 96 usr; 94 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 17 con; 0-3 aty)
% Number of variables : 573 ( 0 sgn 562 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( X0 = false
| X0 = true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool) ).
fof(f2,axiom,
( true != false
& true != err
& false != err ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_false_true_err) ).
fof(f3,axiom,
( d(true)
& d(false)
& d(err) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d) ).
fof(f4,axiom,
! [X0,X1] :
( forallprefers(X0,X1)
<=> ( ( ~ d(X0)
& d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X0)
& bool(X1) )
| ( X0 = false
& X1 = true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers) ).
fof(f6,axiom,
! [X0] :
( ( d(X0)
& phi(X0) = X0 )
| ( ~ d(X0)
& phi(X0) = err ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi) ).
fof(f7,axiom,
! [X0] :
( prop(X0) = true
<=> bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true) ).
fof(f8,axiom,
! [X0] :
( prop(X0) = false
<=> ~ bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false) ).
fof(f9,axiom,
! [X0,X1] :
( ~ bool(X0)
=> impl(X0,X1) = phi(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom1) ).
fof(f10,axiom,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> impl(X0,X1) = phi(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom2) ).
fof(f11,axiom,
! [X0] :
( bool(X0)
=> impl(false,X0) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom3) ).
fof(f12,axiom,
! [X0] :
( bool(X0)
=> impl(true,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom4) ).
fof(f13,axiom,
! [X0,X1] :
( ~ bool(X0)
=> lazy_impl(X0,X1) = phi(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom1) ).
fof(f14,axiom,
! [X0] : lazy_impl(false,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2) ).
fof(f15,axiom,
! [X0] : lazy_impl(true,X0) = phi(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3) ).
fof(f25,axiom,
! [X0,X1,X2] : f2(X0,X1,X2) = lazy_impl(prop(X2),impl(lazy_impl(X0,impl(X1,X2)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f2) ).
fof(f26,axiom,
! [X0,X1] :
? [X2] :
( lazy_and2(X0,X1) = phi(f2(X0,X1,X2))
& ~ ? [X3] : forallprefers(f2(X0,X1,X3),f2(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lazy_and2) ).
fof(f27,axiom,
! [X0,X1] :
( ~ bool(X0)
=> or1(X0,X1) = phi(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom1) ).
fof(f28,axiom,
! [X0,X1] :
( ( bool(X0)
& ~ bool(X1) )
=> or1(X0,X1) = phi(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom2) ).
fof(f29,axiom,
! [X0] :
( bool(X0)
=> or1(true,X0) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom3) ).
fof(f30,axiom,
! [X0] :
( bool(X0)
=> or1(false,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_axiom4) ).
fof(f31,axiom,
! [X0,X1,X2] : f3(X0,X1,X2) = lazy_impl(prop(X2),impl(impl(X0,X2),impl(impl(X1,X2),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f3) ).
fof(f32,axiom,
! [X0,X1] :
? [X2] :
( or2(X0,X1) = phi(f3(X0,X1,X2))
& ~ ? [X3] : forallprefers(f3(X0,X1,X3),f3(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_or2) ).
fof(f38,axiom,
false1 = false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1) ).
fof(f39,axiom,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7) ).
fof(f40,axiom,
? [X0] :
( false2 = phi(f7(X0))
& ~ ? [X1] : forallprefers(f7(X1),f7(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2) ).
fof(f41,axiom,
! [X0] :
( ~ bool(X0)
=> not1(X0) = phi(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom1) ).
fof(f42,axiom,
not1(false) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom2) ).
fof(f43,axiom,
not1(true) = false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom3) ).
fof(f45,conjecture,
! [X0,X1] : or1(X0,X1) = or2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1_or2) ).
fof(f46,negated_conjecture,
~ ! [X0,X1] : or1(X0,X1) = or2(X0,X1),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f48,plain,
! [X0,X1] :
( ( ( ~ d(X0)
& d(X1) )
| ( d(X0)
& d(X1)
& ~ bool(X0)
& bool(X1) )
| ( X0 = false
& X1 = true ) )
=> forallprefers(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f49,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ( ( d(X0)
| ~ d(X1) )
& ( ~ d(X0)
| ~ d(X1)
| bool(X0)
| ~ bool(X1) )
& ( false != X0
| true != X1 ) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f51,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f52,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f53,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( impl(false,X0) = true
| ~ bool(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f55,plain,
! [X0] :
( impl(true,X0) = X0
| ~ bool(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f56,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f64,plain,
! [X0,X1] :
? [X2] :
( lazy_and2(X0,X1) = phi(f2(X0,X1,X2))
& ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,X2)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f65,plain,
! [X0,X1] :
( or1(X0,X1) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f66,plain,
! [X0,X1] :
( or1(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f67,plain,
! [X0,X1] :
( or1(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0] :
( or1(true,X0) = true
| ~ bool(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f69,plain,
! [X0] :
( or1(false,X0) = X0
| ~ bool(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f70,plain,
! [X0,X1] :
? [X2] :
( or2(X0,X1) = phi(f3(X0,X1,X2))
& ! [X3] : ~ forallprefers(f3(X0,X1,X3),f3(X0,X1,X2)) ),
inference(ennf_transformation,[],[f32]) ).
fof(f74,plain,
? [X0] :
( false2 = phi(f7(X0))
& ! [X1] : ~ forallprefers(f7(X1),f7(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f75,plain,
! [X0] :
( not1(X0) = phi(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f76,plain,
? [X0,X1] : or1(X0,X1) != or2(X0,X1),
inference(ennf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( X0 = false
| X0 = true
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f78,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( X0 = false
| X0 = true
| ~ bool(X0) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( prop(X0) = true
| ~ bool(X0) )
& ( bool(X0)
| true != prop(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f80,plain,
! [X0] :
( ( prop(X0) = false
| bool(X0) )
& ( ~ bool(X0)
| false != prop(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f82,plain,
! [X0,X1] :
( lazy_and2(X0,X1) = phi(f2(X0,X1,sK1(X0,X1)))
& ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,sK1(X0,X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f64]) ).
fof(f83,plain,
! [X0,X1] :
( or2(X0,X1) = phi(f3(X0,X1,sK2(X0,X1)))
& ! [X3] : ~ forallprefers(f3(X0,X1,X3),f3(X0,X1,sK2(X0,X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f70]) ).
fof(f87,plain,
( false2 = phi(f7(sK6))
& ! [X1] : ~ forallprefers(f7(X1),f7(sK6)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f74]) ).
fof(f88,plain,
or1(sK7,sK8) != or2(sK7,sK8),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f76]) ).
fof(f89,plain,
! [X0] :
( false = X0
| true = X0
| ~ bool(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f90,plain,
! [X0] :
( bool(X0)
| true != X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f91,plain,
! [X0] :
( bool(X0)
| false != X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f92,plain,
false != err,
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
true != err,
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
false != true,
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
d(err),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| false != X0
| true != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f99,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ~ d(X0)
| ~ d(X1)
| bool(X0)
| ~ bool(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f100,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| d(X0)
| ~ d(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f104,plain,
! [X0] :
( phi(X0) = X0
| err = phi(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0] :
( phi(X0) = X0
| ~ d(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f108,plain,
! [X0] :
( true != prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f109,plain,
! [X0] :
( ~ bool(X0)
| true = prop(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f110,plain,
! [X0] :
( ~ bool(X0)
| false != prop(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f111,plain,
! [X0] :
( false = prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f112,plain,
! [X0,X1] :
( phi(X0) = impl(X0,X1)
| bool(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f113,plain,
! [X0,X1] :
( impl(X0,X1) = phi(X1)
| ~ bool(X0)
| bool(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f114,plain,
! [X0] :
( true = impl(false,X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f115,plain,
! [X0] :
( ~ bool(X0)
| impl(true,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f116,plain,
! [X0,X1] :
( phi(X0) = lazy_impl(X0,X1)
| bool(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f117,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f129,plain,
! [X2,X0,X1] : f2(X0,X1,X2) = lazy_impl(prop(X2),impl(lazy_impl(X0,impl(X1,X2)),X2)),
inference(cnf_transformation,[],[f25]) ).
fof(f130,plain,
! [X3,X0,X1] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,sK1(X0,X1))),
inference(cnf_transformation,[],[f82]) ).
fof(f132,plain,
! [X0,X1] :
( phi(X0) = or1(X0,X1)
| bool(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f133,plain,
! [X0,X1] :
( phi(X1) = or1(X0,X1)
| ~ bool(X0)
| bool(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f134,plain,
! [X0] :
( ~ bool(X0)
| true = or1(true,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f135,plain,
! [X0] :
( or1(false,X0) = X0
| ~ bool(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f136,plain,
! [X2,X0,X1] : f3(X0,X1,X2) = lazy_impl(prop(X2),impl(impl(X0,X2),impl(impl(X1,X2),X2))),
inference(cnf_transformation,[],[f31]) ).
fof(f137,plain,
! [X3,X0,X1] : ~ forallprefers(f3(X0,X1,X3),f3(X0,X1,sK2(X0,X1))),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0,X1] : or2(X0,X1) = phi(f3(X0,X1,sK2(X0,X1))),
inference(cnf_transformation,[],[f83]) ).
fof(f147,plain,
false = false1,
inference(cnf_transformation,[],[f38]) ).
fof(f148,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(cnf_transformation,[],[f39]) ).
fof(f149,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK6)),
inference(cnf_transformation,[],[f87]) ).
fof(f150,plain,
false2 = phi(f7(sK6)),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
! [X0] :
( phi(X0) = not1(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f152,plain,
true = not1(false),
inference(cnf_transformation,[],[f42]) ).
fof(f153,plain,
false = not1(true),
inference(cnf_transformation,[],[f43]) ).
fof(f155,plain,
or1(sK7,sK8) != or2(sK7,sK8),
inference(cnf_transformation,[],[f88]) ).
fof(f158,plain,
! [X0,X1] : or2(X0,X1) = lazy_impl(true,lazy_impl(prop(sK2(X0,X1)),impl(impl(X0,sK2(X0,X1)),impl(impl(X1,sK2(X0,X1)),sK2(X0,X1))))),
inference(definition_unfolding,[],[f138,f118,f136]) ).
fof(f163,plain,
! [X0] :
( bool(X0)
| false1 != X0 ),
inference(definition_unfolding,[],[f91,f147]) ).
fof(f164,plain,
! [X0] :
( ~ bool(X0)
| true = X0
| false1 = X0 ),
inference(definition_unfolding,[],[f89,f147]) ).
fof(f165,plain,
true != false1,
inference(definition_unfolding,[],[f94,f147]) ).
fof(f166,plain,
err != false1,
inference(definition_unfolding,[],[f92,f147]) ).
fof(f167,plain,
d(false1),
inference(definition_unfolding,[],[f96,f147]) ).
fof(f168,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| false1 != X0
| true != X1 ),
inference(definition_unfolding,[],[f98,f147]) ).
fof(f171,plain,
! [X0] :
( ~ d(X0)
| lazy_impl(true,X0) = X0 ),
inference(definition_unfolding,[],[f105,f118]) ).
fof(f172,plain,
! [X0] :
( lazy_impl(true,X0) = X0
| err = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f104,f118,f118]) ).
fof(f173,plain,
! [X0] :
( bool(X0)
| prop(X0) = false1 ),
inference(definition_unfolding,[],[f111,f147]) ).
fof(f174,plain,
! [X0] :
( prop(X0) != false1
| ~ bool(X0) ),
inference(definition_unfolding,[],[f110,f147]) ).
fof(f175,plain,
! [X0,X1] :
( bool(X0)
| impl(X0,X1) = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f112,f118]) ).
fof(f176,plain,
! [X0,X1] :
( ~ bool(X0)
| impl(X0,X1) = lazy_impl(true,X1)
| bool(X1) ),
inference(definition_unfolding,[],[f113,f118]) ).
fof(f177,plain,
! [X0] :
( ~ bool(X0)
| true = impl(false1,X0) ),
inference(definition_unfolding,[],[f114,f147]) ).
fof(f178,plain,
! [X0,X1] :
( bool(X0)
| lazy_impl(X0,X1) = lazy_impl(true,X0) ),
inference(definition_unfolding,[],[f116,f118]) ).
fof(f179,plain,
! [X0] : true = lazy_impl(false1,X0),
inference(definition_unfolding,[],[f117,f147]) ).
fof(f187,plain,
! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(lazy_impl(X0,impl(X1,X3)),X3)),lazy_impl(prop(sK1(X0,X1)),impl(lazy_impl(X0,impl(X1,sK1(X0,X1))),sK1(X0,X1)))),
inference(definition_unfolding,[],[f130,f129,f129]) ).
fof(f188,plain,
! [X0,X1] :
( bool(X0)
| lazy_impl(true,X0) = or1(X0,X1) ),
inference(definition_unfolding,[],[f132,f118]) ).
fof(f189,plain,
! [X0,X1] :
( ~ bool(X0)
| or1(X0,X1) = lazy_impl(true,X1)
| bool(X1) ),
inference(definition_unfolding,[],[f133,f118]) ).
fof(f190,plain,
! [X0] :
( ~ bool(X0)
| or1(false1,X0) = X0 ),
inference(definition_unfolding,[],[f135,f147]) ).
fof(f191,plain,
! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(impl(X0,X3),impl(impl(X1,X3),X3))),lazy_impl(prop(sK2(X0,X1)),impl(impl(X0,sK2(X0,X1)),impl(impl(X1,sK2(X0,X1)),sK2(X0,X1))))),
inference(definition_unfolding,[],[f137,f136,f136]) ).
fof(f194,plain,
false2 = lazy_impl(true,lazy_impl(prop(sK6),sK6)),
inference(definition_unfolding,[],[f150,f118,f148]) ).
fof(f195,plain,
! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK6),sK6)),
inference(definition_unfolding,[],[f149,f148,f148]) ).
fof(f196,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = not1(X0) ),
inference(definition_unfolding,[],[f151,f118]) ).
fof(f197,plain,
true = not1(false1),
inference(definition_unfolding,[],[f152,f147]) ).
fof(f198,plain,
false1 = not1(true),
inference(definition_unfolding,[],[f153,f147]) ).
fof(f199,plain,
or1(sK7,sK8) != lazy_impl(true,lazy_impl(prop(sK2(sK7,sK8)),impl(impl(sK7,sK2(sK7,sK8)),impl(impl(sK8,sK2(sK7,sK8)),sK2(sK7,sK8))))),
inference(definition_unfolding,[],[f155,f158]) ).
fof(f200,plain,
bool(false1),
inference(equality_resolution,[],[f163]) ).
fof(f201,plain,
bool(true),
inference(equality_resolution,[],[f90]) ).
fof(f202,plain,
! [X1] :
( forallprefers(false1,X1)
| true != X1 ),
inference(equality_resolution,[],[f168]) ).
fof(f203,plain,
forallprefers(false1,true),
inference(equality_resolution,[],[f202]) ).
fof(f206,definition,
sF9 = or1(sK7,sK8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f207,plain,
or1(sK7,sK8) = sF9,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF10 = sK2(sK7,sK8),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f209,plain,
sK2(sK7,sK8) = sF10,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF11 = prop(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f211,plain,
prop(sF10) = sF11,
inference(reorient_equations,[],[f210]) ).
fof(f212,definition,
sF12 = impl(sK7,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f213,plain,
impl(sK7,sF10) = sF12,
inference(reorient_equations,[],[f212]) ).
fof(f214,definition,
sF13 = impl(sK8,sF10),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f215,plain,
impl(sK8,sF10) = sF13,
inference(reorient_equations,[],[f214]) ).
fof(f216,definition,
sF14 = impl(sF13,sF10),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f217,plain,
impl(sF13,sF10) = sF14,
inference(reorient_equations,[],[f216]) ).
fof(f218,definition,
sF15 = impl(sF12,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f219,plain,
impl(sF12,sF14) = sF15,
inference(reorient_equations,[],[f218]) ).
fof(f220,definition,
sF16 = lazy_impl(sF11,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f221,plain,
lazy_impl(sF11,sF15) = sF16,
inference(reorient_equations,[],[f220]) ).
fof(f222,definition,
sF17 = lazy_impl(true,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f223,plain,
lazy_impl(true,sF16) = sF17,
inference(reorient_equations,[],[f222]) ).
fof(f224,plain,
sF9 != sF17,
inference(definition_folding,[],[f199,f223,f221,f219,f217,f209,f215,f209,f213,f209,f211,f209,f207]) ).
fof(f225,plain,
! [X0] :
( impl(true,X0) = X0
| prop(X0) = false1 ),
inference(resolution,[],[f173,f115]) ).
fof(f227,plain,
! [X0] :
( prop(X0) = false1
| true = prop(X0) ),
inference(resolution,[],[f109,f173]) ).
fof(f229,plain,
( false1 = sF11
| true = prop(sF10) ),
inference(superposition,[],[f211,f227]) ).
fof(f235,plain,
( true = sF11
| false1 = sF11 ),
inference(forward_demodulation,[],[f229,f211]) ).
fof(f237,definition,
( spl18_1
<=> true = sF11 ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f238,plain,
( true != sF11
| spl18_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( true = sF11
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f241,definition,
( spl18_2
<=> false1 = sF11 ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f243,plain,
( false1 = sF11
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f246,definition,
( spl18_3
<=> true = prop(sK6) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f247,plain,
( true != prop(sK6)
| spl18_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( true = prop(sK6)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl18_4
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f251,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f261,plain,
( spl18_2
| spl18_1 ),
inference(avatar_split_clause,[],[f235,f237,f241]) ).
fof(f265,plain,
true = prop(true),
inference(resolution,[],[f201,f109]) ).
fof(f266,plain,
true = impl(true,true),
inference(resolution,[],[f201,f115]) ).
fof(f276,plain,
( false1 != sF11
| ~ bool(sF10) ),
inference(superposition,[],[f174,f211]) ).
fof(f278,plain,
( ~ bool(sF10)
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f276,f243]) ).
fof(f280,plain,
! [X0] :
( or1(false1,X0) = X0
| prop(X0) = false1 ),
inference(resolution,[],[f190,f173]) ).
fof(f281,plain,
true = or1(false1,true),
inference(resolution,[],[f190,f201]) ).
fof(f283,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f175,f109]) ).
fof(f285,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X0)
| false1 = X0
| true = X0 ),
inference(resolution,[],[f164,f175]) ).
fof(f286,plain,
! [X0,X1] :
( lazy_impl(true,X0) = or1(X0,X1)
| false1 = X0
| true = X0 ),
inference(resolution,[],[f164,f188]) ).
fof(f287,plain,
! [X0] :
( prop(X0) = false1
| false1 = X0
| true = X0 ),
inference(resolution,[],[f164,f173]) ).
fof(f290,plain,
( false1 = sF11
| false1 = sF10
| true = sF10 ),
inference(superposition,[],[f287,f211]) ).
fof(f294,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(false1,sK6))
| false1 = sK6
| true = sK6 ),
inference(superposition,[],[f195,f287]) ).
fof(f297,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),X0),true)
| false1 = sK6
| true = sK6 ),
inference(forward_demodulation,[],[f294,f179]) ).
fof(f302,definition,
( spl18_7
<=> true = sK6 ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f304,plain,
( true = sK6
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl18_8
<=> false1 = sK6 ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f308,plain,
( false1 = sK6
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f309,plain,
( spl18_7
| spl18_8
| spl18_4 ),
inference(avatar_split_clause,[],[f297,f250,f306,f302]) ).
fof(f314,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(true),true))
| ~ spl18_7 ),
inference(superposition,[],[f195,f304]) ).
fof(f315,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(true,true))
| ~ spl18_7 ),
inference(forward_demodulation,[],[f314,f265]) ).
fof(f316,plain,
( sF12 = lazy_impl(true,sK7)
| false1 = sK7
| true = sK7 ),
inference(superposition,[],[f285,f213]) ).
fof(f317,plain,
( sF13 = lazy_impl(true,sK8)
| false1 = sK8
| true = sK8 ),
inference(superposition,[],[f285,f215]) ).
fof(f318,plain,
( sF14 = lazy_impl(true,sF13)
| false1 = sF13
| true = sF13 ),
inference(superposition,[],[f285,f217]) ).
fof(f319,plain,
( sF15 = lazy_impl(true,sF12)
| false1 = sF12
| true = sF12 ),
inference(superposition,[],[f285,f219]) ).
fof(f325,definition,
( spl18_9
<=> true = sF12 ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f326,plain,
( true != sF12
| spl18_9 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( true = sF12
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f329,definition,
( spl18_10
<=> false1 = sF12 ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f330,plain,
( false1 != sF12
| spl18_10 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( false1 = sF12
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f333,definition,
( spl18_11
<=> sF15 = lazy_impl(true,sF12) ),
introduced(definition,[new_symbols(definition,[spl18_11])],[avatar_definition]) ).
fof(f334,plain,
( sF15 != lazy_impl(true,sF12)
| spl18_11 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f335,plain,
( sF15 = lazy_impl(true,sF12)
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f338,definition,
( spl18_12
<=> true = sF13 ),
introduced(definition,[new_symbols(definition,[spl18_12])],[avatar_definition]) ).
fof(f339,plain,
( true != sF13
| spl18_12 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( true = sF13
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f342,definition,
( spl18_13
<=> false1 = sF13 ),
introduced(definition,[new_symbols(definition,[spl18_13])],[avatar_definition]) ).
fof(f343,plain,
( false1 != sF13
| spl18_13 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( false1 = sF13
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f346,definition,
( spl18_14
<=> sF14 = lazy_impl(true,sF13) ),
introduced(definition,[new_symbols(definition,[spl18_14])],[avatar_definition]) ).
fof(f348,plain,
( sF14 = lazy_impl(true,sF13)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f351,definition,
( spl18_15
<=> true = sK8 ),
introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).
fof(f352,plain,
( true != sK8
| spl18_15 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f353,plain,
( true = sK8
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f355,definition,
( spl18_16
<=> false1 = sK8 ),
introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).
fof(f356,plain,
( false1 != sK8
| spl18_16 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( false1 = sK8
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f359,definition,
( spl18_17
<=> sF13 = lazy_impl(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f360,plain,
( sF13 != lazy_impl(true,sK8)
| spl18_17 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f361,plain,
( sF13 = lazy_impl(true,sK8)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f364,definition,
( spl18_18
<=> true = sK7 ),
introduced(definition,[new_symbols(definition,[spl18_18])],[avatar_definition]) ).
fof(f365,plain,
( true != sK7
| spl18_18 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( true = sK7
| ~ spl18_18 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f368,definition,
( spl18_19
<=> false1 = sK7 ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
fof(f369,plain,
( false1 != sK7
| spl18_19 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f370,plain,
( false1 = sK7
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f372,definition,
( spl18_20
<=> sF12 = lazy_impl(true,sK7) ),
introduced(definition,[new_symbols(definition,[spl18_20])],[avatar_definition]) ).
fof(f374,plain,
( sF12 = lazy_impl(true,sK7)
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,plain,
( spl18_9
| spl18_10
| spl18_11 ),
inference(avatar_split_clause,[],[f319,f333,f329,f325]) ).
fof(f377,plain,
( spl18_12
| spl18_13
| spl18_14 ),
inference(avatar_split_clause,[],[f318,f346,f342,f338]) ).
fof(f378,plain,
( spl18_15
| spl18_16
| spl18_17 ),
inference(avatar_split_clause,[],[f317,f359,f355,f351]) ).
fof(f379,plain,
( spl18_18
| spl18_19
| spl18_20 ),
inference(avatar_split_clause,[],[f316,f372,f368,f364]) ).
fof(f382,plain,
( sF9 = or1(true,sK8)
| ~ spl18_18 ),
inference(superposition,[],[f207,f366]) ).
fof(f383,plain,
( sF9 = or1(true,true)
| ~ spl18_15
| ~ spl18_18 ),
inference(forward_demodulation,[],[f382,f353]) ).
fof(f392,plain,
( sF15 = impl(true,sF14)
| ~ spl18_9 ),
inference(superposition,[],[f219,f327]) ).
fof(f397,plain,
! [X0,X1] :
( bool(X1)
| or1(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1 ),
inference(resolution,[],[f189,f173]) ).
fof(f398,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = or1(true,X0) ),
inference(resolution,[],[f189,f201]) ).
fof(f407,plain,
true = lazy_impl(true,true),
inference(resolution,[],[f97,f171]) ).
fof(f408,plain,
! [X2,X0,X1] :
( bool(X2)
| or1(X0,X2) = lazy_impl(true,X2)
| lazy_impl(X0,X1) = lazy_impl(true,X0) ),
inference(resolution,[],[f178,f189]) ).
fof(f409,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f178,f164]) ).
fof(f411,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| true = prop(X0) ),
inference(resolution,[],[f178,f109]) ).
fof(f412,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = lazy_impl(true,X0)
| impl(true,X0) = X0 ),
inference(resolution,[],[f178,f115]) ).
fof(f420,plain,
( sF14 = sF15
| false1 = prop(sF14)
| ~ spl18_9 ),
inference(superposition,[],[f392,f225]) ).
fof(f425,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = or1(false1,X0) ),
inference(resolution,[],[f200,f189]) ).
fof(f427,plain,
false1 = or1(false1,false1),
inference(resolution,[],[f200,f190]) ).
fof(f428,plain,
true = prop(false1),
inference(resolution,[],[f200,f109]) ).
fof(f429,plain,
false1 = impl(true,false1),
inference(resolution,[],[f200,f115]) ).
fof(f450,plain,
( err = sF17
| sF16 = sF17 ),
inference(superposition,[],[f172,f223]) ).
fof(f452,plain,
( sF16 = sF17
| err = lazy_impl(true,sF16) ),
inference(superposition,[],[f223,f172]) ).
fof(f458,plain,
( err = sF17
| sF16 = sF17 ),
inference(forward_demodulation,[],[f452,f223]) ).
fof(f460,definition,
( spl18_21
<=> sF16 = sF17 ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f461,plain,
( sF16 != sF17
| spl18_21 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( sF16 = sF17
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f464,definition,
( spl18_22
<=> err = sF17 ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f465,plain,
( err != sF17
| spl18_22 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( err = sF17
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,plain,
( spl18_21
| spl18_22 ),
inference(avatar_split_clause,[],[f450,f464,f460]) ).
fof(f469,plain,
( spl18_21
| spl18_22 ),
inference(avatar_split_clause,[],[f458,f464,f460]) ).
fof(f470,plain,
( sF9 != sF16
| ~ spl18_21 ),
inference(superposition,[],[f224,f462]) ).
fof(f471,plain,
( sF16 = lazy_impl(false1,sF15)
| ~ spl18_2 ),
inference(superposition,[],[f221,f243]) ).
fof(f472,plain,
( true = sF16
| ~ spl18_2 ),
inference(forward_demodulation,[],[f471,f179]) ).
fof(f476,plain,
( sF9 = lazy_impl(true,sK7)
| false1 = sK7
| true = sK7 ),
inference(superposition,[],[f286,f207]) ).
fof(f477,plain,
( sF9 = lazy_impl(true,sK7)
| false1 = sK7
| true = sK7 ),
inference(superposition,[],[f207,f286]) ).
fof(f482,plain,
! [X0] :
( true = or1(true,X0)
| prop(X0) = false1 ),
inference(resolution,[],[f134,f173]) ).
fof(f483,plain,
true = or1(true,true),
inference(resolution,[],[f134,f201]) ).
fof(f484,plain,
true = or1(true,false1),
inference(resolution,[],[f134,f200]) ).
fof(f485,plain,
( true = sF9
| ~ spl18_15
| ~ spl18_18 ),
inference(forward_demodulation,[],[f483,f383]) ).
fof(f497,plain,
err = lazy_impl(true,err),
inference(resolution,[],[f95,f171]) ).
fof(f500,plain,
! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| ~ d(lazy_impl(prop(sK6),sK6))
| bool(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(prop(sK6),sK6)) ),
inference(resolution,[],[f99,f195]) ).
fof(f510,plain,
! [X0,X1] :
( bool(X1)
| or1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0) ),
inference(resolution,[],[f196,f189]) ).
fof(f511,plain,
! [X0] :
( lazy_impl(true,X0) = not1(X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f196,f164]) ).
fof(f513,plain,
! [X0] :
( lazy_impl(true,X0) = not1(X0)
| true = prop(X0) ),
inference(resolution,[],[f196,f109]) ).
fof(f518,plain,
( sF9 = or1(true,false1)
| ~ spl18_16
| ~ spl18_18 ),
inference(forward_demodulation,[],[f382,f357]) ).
fof(f520,plain,
( true = sF9
| ~ spl18_16
| ~ spl18_18 ),
inference(forward_demodulation,[],[f518,f484]) ).
fof(f533,plain,
( true = sF9
| false1 = prop(sK8)
| ~ spl18_18 ),
inference(superposition,[],[f382,f482]) ).
fof(f537,definition,
( spl18_23
<=> false1 = prop(sK8) ),
introduced(definition,[new_symbols(definition,[spl18_23])],[avatar_definition]) ).
fof(f538,plain,
( false1 != prop(sK8)
| spl18_23 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f539,plain,
( false1 = prop(sK8)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f541,definition,
( spl18_24
<=> true = sF9 ),
introduced(definition,[new_symbols(definition,[spl18_24])],[avatar_definition]) ).
fof(f542,plain,
( true != sF9
| spl18_24 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f543,plain,
( true = sF9
| ~ spl18_24 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f546,plain,
( spl18_23
| spl18_24
| ~ spl18_18 ),
inference(avatar_split_clause,[],[f533,f364,f541,f537]) ).
fof(f554,definition,
( spl18_25
<=> false1 = prop(sF14) ),
introduced(definition,[new_symbols(definition,[spl18_25])],[avatar_definition]) ).
fof(f555,plain,
( false1 != prop(sF14)
| spl18_25 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( false1 = prop(sF14)
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f558,definition,
( spl18_26
<=> sF14 = sF15 ),
introduced(definition,[new_symbols(definition,[spl18_26])],[avatar_definition]) ).
fof(f559,plain,
( sF14 != sF15
| spl18_26 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( sF14 = sF15
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f562,plain,
( spl18_25
| spl18_26
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f420,f325,f558,f554]) ).
fof(f565,plain,
( sF9 = or1(false1,sK8)
| ~ spl18_19 ),
inference(superposition,[],[f207,f370]) ).
fof(f567,plain,
( sF15 = impl(false1,sF14)
| ~ spl18_10 ),
inference(superposition,[],[f219,f331]) ).
fof(f574,plain,
! [X0,X1] :
( bool(X1)
| impl(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1 ),
inference(resolution,[],[f176,f173]) ).
fof(f575,plain,
! [X2,X0,X1] :
( bool(X1)
| impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = impl(X0,X2) ),
inference(resolution,[],[f176,f175]) ).
fof(f576,plain,
! [X2,X0,X1] :
( bool(X1)
| impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = lazy_impl(X0,X2) ),
inference(resolution,[],[f176,f178]) ).
fof(f578,plain,
! [X0,X1] :
( bool(X1)
| impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0) ),
inference(resolution,[],[f176,f196]) ).
fof(f581,plain,
! [X0] :
( bool(X0)
| impl(true,X0) = lazy_impl(true,X0) ),
inference(resolution,[],[f176,f201]) ).
fof(f582,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = impl(false1,X0) ),
inference(resolution,[],[f176,f200]) ).
fof(f586,plain,
! [X0] :
( impl(true,X0) = lazy_impl(true,X0)
| true = X0
| false1 = X0 ),
inference(resolution,[],[f581,f164]) ).
fof(f599,plain,
! [X0,X1] :
( or1(X0,X1) = lazy_impl(true,X1)
| true = or1(true,X1)
| prop(X0) = false1 ),
inference(resolution,[],[f397,f134]) ).
fof(f600,plain,
! [X0,X1] :
( or1(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1
| true = X1
| false1 = X1 ),
inference(resolution,[],[f397,f164]) ).
fof(f603,plain,
! [X0,X1] :
( or1(X0,X1) = lazy_impl(true,X1)
| or1(false1,X1) = X1
| prop(X0) = false1 ),
inference(resolution,[],[f397,f190]) ).
fof(f611,plain,
( sF9 = lazy_impl(true,sK8)
| false1 = prop(sK7)
| true = sK8
| false1 = sK8 ),
inference(superposition,[],[f207,f600]) ).
fof(f662,plain,
( lazy_impl(true,sF10) = not1(sF10)
| ~ spl18_2 ),
inference(resolution,[],[f278,f196]) ).
fof(f674,plain,
false1 = lazy_impl(true,false1),
inference(resolution,[],[f167,f171]) ).
fof(f676,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| impl(true,X1) = X1
| prop(X0) = false1 ),
inference(resolution,[],[f574,f115]) ).
fof(f678,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1
| true = X1
| false1 = X1 ),
inference(resolution,[],[f574,f164]) ).
fof(f679,plain,
! [X2,X0,X1] :
( bool(X2)
| prop(X0) = false1
| impl(X1,X2) = lazy_impl(true,X2)
| impl(X0,X1) = lazy_impl(true,X1) ),
inference(resolution,[],[f574,f176]) ).
fof(f687,plain,
( sF12 = lazy_impl(true,sF10)
| false1 = prop(sK7)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f678,f213]) ).
fof(f688,plain,
( sF13 = lazy_impl(true,sF10)
| false1 = prop(sK8)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f678,f215]) ).
fof(f690,plain,
( sF15 = lazy_impl(true,sF14)
| false1 = prop(sF12)
| true = sF14
| false1 = sF14 ),
inference(superposition,[],[f678,f219]) ).
fof(f703,plain,
( sF13 = not1(sF10)
| false1 = prop(sK8)
| true = sF10
| false1 = sF10
| ~ spl18_2 ),
inference(forward_demodulation,[],[f688,f662]) ).
fof(f704,plain,
( sF12 = not1(sF10)
| false1 = prop(sK7)
| true = sF10
| false1 = sF10
| ~ spl18_2 ),
inference(forward_demodulation,[],[f687,f662]) ).
fof(f711,plain,
! [X0] :
( true = impl(false1,X0)
| prop(X0) = false1 ),
inference(resolution,[],[f177,f173]) ).
fof(f712,plain,
! [X0,X1] :
( true = impl(false1,X0)
| impl(X0,X1) = lazy_impl(true,X0) ),
inference(resolution,[],[f177,f175]) ).
fof(f713,plain,
! [X0,X1] :
( true = impl(false1,X0)
| lazy_impl(X0,X1) = lazy_impl(true,X0) ),
inference(resolution,[],[f177,f178]) ).
fof(f716,plain,
! [X0,X1] :
( lazy_impl(true,X0) = or1(X1,X0)
| true = impl(false1,X0)
| prop(X1) = false1 ),
inference(resolution,[],[f177,f397]) ).
fof(f722,plain,
true = impl(false1,true),
inference(resolution,[],[f177,f201]) ).
fof(f723,plain,
true = impl(false1,false1),
inference(resolution,[],[f177,f200]) ).
fof(f726,plain,
( true = sF15
| false1 = prop(sF14)
| ~ spl18_10 ),
inference(superposition,[],[f711,f567]) ).
fof(f737,plain,
( sF13 = lazy_impl(true,sK8)
| true = prop(sK8) ),
inference(superposition,[],[f283,f215]) ).
fof(f809,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = X0
| err = lazy_impl(X0,X1)
| true = prop(X0) ),
inference(superposition,[],[f172,f411]) ).
fof(f827,plain,
( sK8 = sF9
| false1 = prop(sK8)
| ~ spl18_19 ),
inference(superposition,[],[f280,f565]) ).
fof(f845,definition,
( spl18_27
<=> false1 = sF10 ),
introduced(definition,[new_symbols(definition,[spl18_27])],[avatar_definition]) ).
fof(f846,plain,
( false1 != sF10
| spl18_27 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f847,plain,
( false1 = sF10
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f849,definition,
( spl18_28
<=> true = sF10 ),
introduced(definition,[new_symbols(definition,[spl18_28])],[avatar_definition]) ).
fof(f850,plain,
( true != sF10
| spl18_28 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f851,plain,
( true = sF10
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f853,definition,
( spl18_29
<=> false1 = prop(sF13) ),
introduced(definition,[new_symbols(definition,[spl18_29])],[avatar_definition]) ).
fof(f854,plain,
( false1 != prop(sF13)
| spl18_29 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f855,plain,
( false1 = prop(sF13)
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f857,definition,
( spl18_30
<=> false1 = sF14 ),
introduced(definition,[new_symbols(definition,[spl18_30])],[avatar_definition]) ).
fof(f858,plain,
( false1 != sF14
| spl18_30 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f859,plain,
( false1 = sF14
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f865,definition,
( spl18_31
<=> true = sF15 ),
introduced(definition,[new_symbols(definition,[spl18_31])],[avatar_definition]) ).
fof(f867,plain,
( true = sF15
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f869,plain,
( spl18_25
| spl18_31
| ~ spl18_10 ),
inference(avatar_split_clause,[],[f726,f329,f865,f554]) ).
fof(f873,definition,
( spl18_32
<=> sK8 = sF9 ),
introduced(definition,[new_symbols(definition,[spl18_32])],[avatar_definition]) ).
fof(f874,plain,
( sK8 != sF9
| spl18_32 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f875,plain,
( sK8 = sF9
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f877,plain,
( spl18_23
| spl18_32
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f827,f368,f873,f537]) ).
fof(f885,definition,
( spl18_33
<=> true = sF14 ),
introduced(definition,[new_symbols(definition,[spl18_33])],[avatar_definition]) ).
fof(f886,plain,
( true != sF14
| spl18_33 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f887,plain,
( true = sF14
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f889,definition,
( spl18_34
<=> sF15 = lazy_impl(true,sF14) ),
introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).
fof(f890,plain,
( sF15 != lazy_impl(true,sF14)
| spl18_34 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( sF15 = lazy_impl(true,sF14)
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f900,plain,
( sF9 = lazy_impl(true,sK7)
| true = sK7
| spl18_19 ),
inference(forward_subsumption_resolution,[],[f477,f369]) ).
fof(f913,definition,
( spl18_36
<=> sF13 = not1(sF10) ),
introduced(definition,[new_symbols(definition,[spl18_36])],[avatar_definition]) ).
fof(f914,plain,
( sF13 != not1(sF10)
| spl18_36 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f915,plain,
( sF13 = not1(sF10)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f919,plain,
( spl18_27
| spl18_28
| spl18_23
| spl18_36
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f703,f241,f913,f537,f849,f845]) ).
fof(f920,plain,
( true = not1(sF10)
| false1 = prop(sK7)
| true = sF10
| false1 = sF10
| ~ spl18_2
| ~ spl18_9 ),
inference(forward_demodulation,[],[f704,f327]) ).
fof(f925,plain,
( sF9 = lazy_impl(true,sK7)
| spl18_18
| spl18_19 ),
inference(forward_subsumption_resolution,[],[f900,f365]) ).
fof(f928,definition,
( spl18_37
<=> false1 = prop(sK7) ),
introduced(definition,[new_symbols(definition,[spl18_37])],[avatar_definition]) ).
fof(f929,plain,
( false1 != prop(sK7)
| spl18_37 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f930,plain,
( false1 = prop(sK7)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f932,definition,
( spl18_38
<=> sF9 = sF13 ),
introduced(definition,[new_symbols(definition,[spl18_38])],[avatar_definition]) ).
fof(f933,plain,
( sF9 != sF13
| spl18_38 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f934,plain,
( sF9 = sF13
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f938,definition,
( spl18_39
<=> true = not1(sF10) ),
introduced(definition,[new_symbols(definition,[spl18_39])],[avatar_definition]) ).
fof(f939,plain,
( true != not1(sF10)
| spl18_39 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f940,plain,
( true = not1(sF10)
| ~ spl18_39 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f942,plain,
( spl18_27
| spl18_28
| spl18_37
| spl18_39
| ~ spl18_2
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f920,f325,f241,f938,f928,f849,f845]) ).
fof(f958,definition,
( spl18_40
<=> false1 = prop(sF12) ),
introduced(definition,[new_symbols(definition,[spl18_40])],[avatar_definition]) ).
fof(f959,plain,
( false1 != prop(sF12)
| spl18_40 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f960,plain,
( false1 = prop(sF12)
| ~ spl18_40 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,plain,
( spl18_30
| spl18_33
| spl18_40
| spl18_34 ),
inference(avatar_split_clause,[],[f690,f889,f958,f885,f857]) ).
fof(f963,plain,
( sF9 = sF12
| spl18_18
| spl18_19
| ~ spl18_20 ),
inference(forward_demodulation,[],[f925,f374]) ).
fof(f967,plain,
( true = false1
| false1 = sF10
| true = sF10
| ~ spl18_1 ),
inference(forward_demodulation,[],[f290,f239]) ).
fof(f976,definition,
( spl18_42
<=> sF12 = lazy_impl(true,sF10) ),
introduced(definition,[new_symbols(definition,[spl18_42])],[avatar_definition]) ).
fof(f978,plain,
( sF12 = lazy_impl(true,sF10)
| ~ spl18_42 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f981,plain,
( false1 = prop(false1)
| sF13 = lazy_impl(true,sF10)
| true = sF10
| false1 = sF10
| ~ spl18_16 ),
inference(forward_demodulation,[],[f688,f357]) ).
fof(f982,plain,
( spl18_27
| spl18_28
| spl18_37
| spl18_42 ),
inference(avatar_split_clause,[],[f687,f976,f928,f849,f845]) ).
fof(f986,plain,
( false1 = sF10
| true = sF10
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f967,f165]) ).
fof(f988,plain,
( true = false1
| sF13 = lazy_impl(true,sF10)
| true = sF10
| false1 = sF10
| ~ spl18_16 ),
inference(forward_demodulation,[],[f981,f428]) ).
fof(f992,plain,
( spl18_28
| spl18_27
| ~ spl18_1 ),
inference(avatar_split_clause,[],[f986,f237,f845,f849]) ).
fof(f994,plain,
( sF13 = lazy_impl(true,sF10)
| true = sF10
| false1 = sF10
| ~ spl18_16 ),
inference(forward_subsumption_resolution,[],[f988,f165]) ).
fof(f998,definition,
( spl18_43
<=> sF13 = lazy_impl(true,sF10) ),
introduced(definition,[new_symbols(definition,[spl18_43])],[avatar_definition]) ).
fof(f1000,plain,
( sF13 = lazy_impl(true,sF10)
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1002,plain,
( spl18_27
| spl18_28
| spl18_43
| ~ spl18_16 ),
inference(avatar_split_clause,[],[f994,f355,f998,f849,f845]) ).
fof(f1016,plain,
( sF17 = lazy_impl(true,true)
| ~ spl18_2 ),
inference(superposition,[],[f223,f472]) ).
fof(f1017,plain,
( true = sF17
| ~ spl18_2 ),
inference(forward_demodulation,[],[f1016,f407]) ).
fof(f1019,plain,
( sF9 = or1(sK7,false1)
| ~ spl18_16 ),
inference(superposition,[],[f207,f357]) ).
fof(f1021,plain,
( sF13 = impl(false1,sF10)
| ~ spl18_16 ),
inference(superposition,[],[f215,f357]) ).
fof(f1023,plain,
( sF13 = impl(false1,false1)
| ~ spl18_16
| ~ spl18_27 ),
inference(forward_demodulation,[],[f1021,f847]) ).
fof(f1026,plain,
( true = sF13
| ~ spl18_16
| ~ spl18_27 ),
inference(forward_demodulation,[],[f1023,f723]) ).
fof(f1027,plain,
( $false
| spl18_12
| ~ spl18_16
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f1026,f339]) ).
fof(f1028,plain,
( spl18_12
| ~ spl18_16
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1030,plain,
( sF14 = impl(true,sF10)
| ~ spl18_12 ),
inference(superposition,[],[f217,f340]) ).
fof(f1031,plain,
( sF14 = impl(true,false1)
| ~ spl18_12
| ~ spl18_27 ),
inference(forward_demodulation,[],[f1030,f847]) ).
fof(f1032,plain,
( false1 = sF14
| ~ spl18_12
| ~ spl18_27 ),
inference(forward_demodulation,[],[f1031,f429]) ).
fof(f1033,plain,
( spl18_30
| ~ spl18_12
| ~ spl18_27 ),
inference(avatar_split_clause,[],[f1032,f845,f338,f857]) ).
fof(f1034,plain,
( sF11 = prop(false1)
| ~ spl18_27 ),
inference(superposition,[],[f211,f847]) ).
fof(f1040,plain,
( true = sF11
| ~ spl18_27 ),
inference(forward_demodulation,[],[f1034,f428]) ).
fof(f1043,plain,
( true = false1
| ~ spl18_2
| ~ spl18_27 ),
inference(forward_demodulation,[],[f1040,f243]) ).
fof(f1044,plain,
( $false
| ~ spl18_2
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f1043,f165]) ).
fof(f1045,plain,
( ~ spl18_2
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
fof(f1046,plain,
( sF13 = impl(false1,true)
| ~ spl18_16
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1021,f851]) ).
fof(f1048,plain,
( sF14 = impl(true,true)
| ~ spl18_12
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1030,f851]) ).
fof(f1049,plain,
( true = sF13
| ~ spl18_16
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1046,f722]) ).
fof(f1050,plain,
( true = sF14
| ~ spl18_12
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1048,f266]) ).
fof(f1051,plain,
( true = false1
| ~ spl18_12
| ~ spl18_28
| ~ spl18_30 ),
inference(forward_demodulation,[],[f1050,f859]) ).
fof(f1052,plain,
( $false
| ~ spl18_12
| ~ spl18_28
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f1051,f165]) ).
fof(f1053,plain,
( ~ spl18_12
| ~ spl18_28
| ~ spl18_30 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1054,plain,
( spl18_33
| ~ spl18_12
| ~ spl18_28 ),
inference(avatar_split_clause,[],[f1050,f849,f338,f885]) ).
fof(f1055,plain,
( $false
| spl18_12
| ~ spl18_16
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f1049,f339]) ).
fof(f1056,plain,
( spl18_12
| ~ spl18_16
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1060,plain,
( sF11 = prop(true)
| ~ spl18_28 ),
inference(superposition,[],[f211,f851]) ).
fof(f1062,plain,
( sF13 = impl(sK8,true)
| ~ spl18_28 ),
inference(superposition,[],[f215,f851]) ).
fof(f1063,plain,
( sF12 = impl(sK7,true)
| ~ spl18_28 ),
inference(superposition,[],[f213,f851]) ).
fof(f1066,plain,
( true = sF11
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1060,f265]) ).
fof(f1069,plain,
( true = false1
| ~ spl18_2
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1066,f243]) ).
fof(f1070,plain,
( $false
| ~ spl18_2
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f1069,f165]) ).
fof(f1071,plain,
( ~ spl18_2
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1085,plain,
( false1 != false1
| ~ bool(sF12)
| ~ spl18_40 ),
inference(superposition,[],[f174,f960]) ).
fof(f1087,plain,
( ~ bool(sF12)
| ~ spl18_40 ),
inference(trivial_inequality_removal,[],[f1085]) ).
fof(f1092,plain,
( sK7 = sF12
| err = lazy_impl(true,sK7)
| ~ spl18_20 ),
inference(superposition,[],[f374,f172]) ).
fof(f1098,definition,
( spl18_44
<=> err = sF12 ),
introduced(definition,[new_symbols(definition,[spl18_44])],[avatar_definition]) ).
fof(f1099,plain,
( err != sF12
| spl18_44 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1100,plain,
( err = sF12
| ~ spl18_44 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1102,definition,
( spl18_45
<=> sK7 = sF12 ),
introduced(definition,[new_symbols(definition,[spl18_45])],[avatar_definition]) ).
fof(f1104,plain,
( sK7 = sF12
| ~ spl18_45 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1107,plain,
( err = sF12
| sK7 = sF12
| ~ spl18_20 ),
inference(forward_demodulation,[],[f1092,f374]) ).
fof(f1108,plain,
( spl18_45
| spl18_44
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f1107,f372,f1098,f1102]) ).
fof(f1112,plain,
( err = sF13
| sK8 = sF13
| ~ spl18_17 ),
inference(superposition,[],[f172,f361]) ).
fof(f1116,plain,
( true = err
| sK8 = sF13
| ~ spl18_12
| ~ spl18_17 ),
inference(forward_demodulation,[],[f1112,f340]) ).
fof(f1120,plain,
( sK8 = sF13
| ~ spl18_12
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f1116,f93]) ).
fof(f1125,plain,
( true = sK8
| ~ spl18_12
| ~ spl18_17 ),
inference(forward_demodulation,[],[f1120,f340]) ).
fof(f1144,plain,
( sF12 = lazy_impl(true,sF12)
| ~ spl18_20
| ~ spl18_45 ),
inference(superposition,[],[f374,f1104]) ).
fof(f1145,plain,
( true != sF12
| spl18_18
| ~ spl18_45 ),
inference(superposition,[],[f365,f1104]) ).
fof(f1152,plain,
( sF12 = sF15
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f1144,f335]) ).
fof(f1162,plain,
( sF13 = sF14
| err = lazy_impl(true,sF13)
| ~ spl18_14 ),
inference(superposition,[],[f348,f172]) ).
fof(f1164,plain,
( err = sF14
| sF13 = sF14
| ~ spl18_14 ),
inference(superposition,[],[f172,f348]) ).
fof(f1168,plain,
( true = err
| sF13 = sF14
| ~ spl18_14
| ~ spl18_33 ),
inference(forward_demodulation,[],[f1164,f887]) ).
fof(f1171,plain,
( sF13 = sF14
| ~ spl18_14
| ~ spl18_33 ),
inference(forward_subsumption_resolution,[],[f1168,f93]) ).
fof(f1172,plain,
( true = sF13
| ~ spl18_14
| ~ spl18_33 ),
inference(forward_demodulation,[],[f1171,f887]) ).
fof(f1173,plain,
( sF16 = lazy_impl(true,sF15)
| ~ spl18_1 ),
inference(superposition,[],[f221,f239]) ).
fof(f1174,plain,
( sF16 = lazy_impl(true,sF12)
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f1173,f1152]) ).
fof(f1175,plain,
( sF15 = sF16
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f1174,f335]) ).
fof(f1176,plain,
( sF12 = sF16
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f1175,f1152]) ).
fof(f1180,plain,
( sF15 != lazy_impl(true,false1)
| ~ spl18_10
| spl18_11 ),
inference(forward_demodulation,[],[f334,f331]) ).
fof(f1186,plain,
( false1 != sF15
| ~ spl18_10
| spl18_11 ),
inference(forward_demodulation,[],[f1180,f674]) ).
fof(f1202,plain,
( $false
| ~ spl18_9
| spl18_18
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f1145,f327]) ).
fof(f1203,plain,
( ~ spl18_9
| spl18_18
| ~ spl18_45 ),
inference(avatar_contradiction_clause,[],[f1202]) ).
fof(f1218,plain,
( spl18_24
| ~ spl18_16
| ~ spl18_18 ),
inference(avatar_split_clause,[],[f520,f364,f355,f541]) ).
fof(f1253,plain,
( false1 = prop(true)
| ~ spl18_9
| ~ spl18_40 ),
inference(superposition,[],[f960,f327]) ).
fof(f1254,plain,
( sF15 = impl(true,sF14)
| ~ spl18_9 ),
inference(superposition,[],[f219,f327]) ).
fof(f1255,plain,
( sF15 = impl(true,true)
| ~ spl18_9
| ~ spl18_33 ),
inference(forward_demodulation,[],[f1254,f887]) ).
fof(f1256,plain,
( true = false1
| ~ spl18_9
| ~ spl18_40 ),
inference(forward_demodulation,[],[f1253,f265]) ).
fof(f1257,plain,
( true = sF15
| ~ spl18_9
| ~ spl18_33 ),
inference(forward_demodulation,[],[f1255,f266]) ).
fof(f1258,plain,
( $false
| ~ spl18_9
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f1256,f165]) ).
fof(f1259,plain,
( ~ spl18_9
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1272,plain,
( err != sF16
| spl18_21
| ~ spl18_22 ),
inference(forward_demodulation,[],[f461,f466]) ).
fof(f1310,plain,
( sF12 = impl(true,sF10)
| ~ spl18_18 ),
inference(superposition,[],[f213,f366]) ).
fof(f1315,plain,
( sF12 = impl(true,true)
| ~ spl18_18
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1310,f851]) ).
fof(f1318,plain,
( true = sF12
| ~ spl18_18
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1315,f266]) ).
fof(f1319,plain,
( $false
| spl18_9
| ~ spl18_18
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f1318,f326]) ).
fof(f1320,plain,
( spl18_9
| ~ spl18_18
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1326,plain,
( sF16 = lazy_impl(sF11,true)
| ~ spl18_31 ),
inference(superposition,[],[f221,f867]) ).
fof(f1327,plain,
( sF16 = lazy_impl(true,true)
| ~ spl18_1
| ~ spl18_31 ),
inference(forward_demodulation,[],[f1326,f239]) ).
fof(f1328,plain,
( true = sF16
| ~ spl18_1
| ~ spl18_31 ),
inference(forward_demodulation,[],[f1327,f407]) ).
fof(f1329,plain,
( err != sF9
| ~ spl18_22 ),
inference(superposition,[],[f224,f466]) ).
fof(f1341,plain,
( sF17 = lazy_impl(true,true)
| ~ spl18_1
| ~ spl18_31 ),
inference(superposition,[],[f223,f1328]) ).
fof(f1342,plain,
( true = sF17
| ~ spl18_1
| ~ spl18_31 ),
inference(forward_demodulation,[],[f1341,f407]) ).
fof(f1343,plain,
( true = err
| ~ spl18_1
| ~ spl18_22
| ~ spl18_31 ),
inference(forward_demodulation,[],[f1342,f466]) ).
fof(f1344,plain,
( $false
| ~ spl18_1
| ~ spl18_22
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f1343,f93]) ).
fof(f1345,plain,
( ~ spl18_1
| ~ spl18_22
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1347,plain,
( true != sF9
| ~ spl18_1
| ~ spl18_21
| ~ spl18_31 ),
inference(forward_demodulation,[],[f470,f1328]) ).
fof(f1350,plain,
( $false
| ~ spl18_1
| ~ spl18_21
| ~ spl18_24
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f1347,f543]) ).
fof(f1351,plain,
( ~ spl18_1
| ~ spl18_21
| ~ spl18_24
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1363,plain,
( sF9 = or1(false1,false1)
| ~ spl18_16
| ~ spl18_19 ),
inference(forward_demodulation,[],[f1019,f370]) ).
fof(f1373,plain,
( false1 = sF9
| ~ spl18_16
| ~ spl18_19 ),
inference(forward_demodulation,[],[f1363,f427]) ).
fof(f1387,plain,
( sF12 = impl(false1,true)
| ~ spl18_19
| ~ spl18_28 ),
inference(superposition,[],[f1063,f370]) ).
fof(f1389,plain,
( sF10 = sK2(false1,sK8)
| ~ spl18_19 ),
inference(superposition,[],[f209,f370]) ).
fof(f1392,plain,
( sF10 = sK2(false1,false1)
| ~ spl18_16
| ~ spl18_19 ),
inference(forward_demodulation,[],[f1389,f357]) ).
fof(f1394,plain,
( true = sF12
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1387,f722]) ).
fof(f1396,plain,
( true = sK2(false1,false1)
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1392,f851]) ).
fof(f1412,plain,
( sF15 = sF16
| err = lazy_impl(true,sF15)
| ~ spl18_1 ),
inference(superposition,[],[f1173,f172]) ).
fof(f1414,plain,
( err = sF16
| sF15 = sF16
| ~ spl18_1 ),
inference(superposition,[],[f172,f1173]) ).
fof(f1415,plain,
( sF15 = sF16
| err = sF16
| ~ spl18_1 ),
inference(superposition,[],[f172,f1173]) ).
fof(f1491,plain,
( false2 = lazy_impl(true,lazy_impl(false1,sK6))
| true = prop(sK6) ),
inference(superposition,[],[f194,f227]) ).
fof(f1495,plain,
( false2 = lazy_impl(prop(sK6),sK6)
| err = lazy_impl(true,lazy_impl(prop(sK6),sK6)) ),
inference(superposition,[],[f194,f172]) ).
fof(f1523,definition,
( spl18_47
<=> true = false2 ),
introduced(definition,[new_symbols(definition,[spl18_47])],[avatar_definition]) ).
fof(f1524,plain,
( true != false2
| spl18_47 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1525,plain,
( true = false2
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1541,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(X1,X0),X0))),lazy_impl(prop(sK2(false1,X1)),impl(impl(false1,sK2(false1,X1)),impl(impl(X1,sK2(false1,X1)),sK2(false1,X1)))))
| prop(X0) = false1 ),
inference(superposition,[],[f191,f711]) ).
fof(f1545,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(true),impl(true,impl(impl(X0,true),true))),lazy_impl(prop(sK2(true,X0)),impl(impl(true,sK2(true,X0)),impl(impl(X0,sK2(true,X0)),sK2(true,X0))))),
inference(superposition,[],[f191,f266]) ).
fof(f1579,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(X1,X0),impl(impl(X2,X0),X0))),lazy_impl(false1,impl(impl(X1,sK2(X1,X2)),impl(impl(X2,sK2(X1,X2)),sK2(X1,X2)))))
| true = prop(sK2(X1,X2)) ),
inference(superposition,[],[f191,f227]) ).
fof(f1590,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(sK7,sF10),impl(impl(sK8,sF10),sF10)))),
inference(superposition,[],[f191,f209]) ).
fof(f1593,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X2),impl(impl(X1,X2),impl(impl(X0,X2),X2))),lazy_impl(prop(sK2(X1,X0)),impl(impl(X1,sK2(X1,X0)),lazy_impl(true,impl(X0,sK2(X1,X0))))))
| false1 = impl(X0,sK2(X1,X0))
| true = impl(X0,sK2(X1,X0)) ),
inference(superposition,[],[f191,f285]) ).
fof(f1596,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X2),impl(impl(X0,X2),impl(impl(X1,X2),X2))),lazy_impl(prop(sK2(X0,X1)),lazy_impl(true,impl(X0,sK2(X0,X1)))))
| false1 = impl(X0,sK2(X0,X1))
| true = impl(X0,sK2(X0,X1)) ),
inference(superposition,[],[f191,f285]) ).
fof(f1600,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(X1,X0),impl(impl(X2,X0),X0))),true)
| true = prop(sK2(X1,X2)) ),
inference(forward_demodulation,[],[f1579,f179]) ).
fof(f1621,plain,
! [X0] : ~ forallprefers(lazy_impl(true,impl(true,impl(impl(X0,true),true))),lazy_impl(prop(sK2(true,X0)),impl(impl(true,sK2(true,X0)),impl(impl(X0,sK2(true,X0)),sK2(true,X0))))),
inference(forward_demodulation,[],[f1545,f265]) ).
fof(f1649,definition,
( spl18_49
<=> ! [X0] :
( false1 = X0
| true = X0 ) ),
introduced(definition,[new_symbols(definition,[spl18_49])],[avatar_definition]) ).
fof(f1650,plain,
( ! [X0] :
( false1 = X0
| true = X0 )
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1702,plain,
( false1 = prop(true)
| ~ spl18_25
| ~ spl18_33 ),
inference(superposition,[],[f556,f887]) ).
fof(f1705,plain,
( false1 != false1
| ~ bool(sF14)
| ~ spl18_25 ),
inference(superposition,[],[f174,f556]) ).
fof(f1707,plain,
( ~ bool(sF14)
| ~ spl18_25 ),
inference(trivial_inequality_removal,[],[f1705]) ).
fof(f1711,plain,
( true = false1
| ~ spl18_25
| ~ spl18_33 ),
inference(forward_demodulation,[],[f1702,f265]) ).
fof(f1715,plain,
( $false
| ~ spl18_25
| ~ spl18_33 ),
inference(forward_subsumption_resolution,[],[f1711,f165]) ).
fof(f1716,plain,
( ~ spl18_25
| ~ spl18_33 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1739,plain,
( sF16 = not1(sF15)
| true = sF15
| false1 = sF15
| ~ spl18_1 ),
inference(superposition,[],[f511,f1173]) ).
fof(f1740,plain,
( sF17 = not1(sF16)
| true = sF16
| false1 = sF16 ),
inference(superposition,[],[f511,f223]) ).
fof(f1745,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = not1(X0)
| true = X0
| false1 = X0
| true = X0
| false1 = X0 ),
inference(superposition,[],[f409,f511]) ).
fof(f1746,plain,
( err = not1(err)
| true = err
| err = false1 ),
inference(superposition,[],[f497,f511]) ).
fof(f1748,plain,
( sF14 = not1(sF13)
| true = sF13
| false1 = sF13
| ~ spl18_14 ),
inference(superposition,[],[f348,f511]) ).
fof(f1749,plain,
( sF16 = not1(sF15)
| true = sF15
| false1 = sF15
| ~ spl18_1 ),
inference(superposition,[],[f1173,f511]) ).
fof(f1752,plain,
! [X0,X1] :
( lazy_impl(X0,X1) = not1(X0)
| true = X0
| false1 = X0 ),
inference(duplicate_literal_removal,[],[f1745]) ).
fof(f1755,plain,
( err = not1(err)
| err = false1 ),
inference(forward_subsumption_resolution,[],[f1746,f93]) ).
fof(f1759,plain,
err = not1(err),
inference(forward_subsumption_resolution,[],[f1755,f166]) ).
fof(f1853,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
| ~ spl18_7 ),
inference(superposition,[],[f315,f407]) ).
fof(f1856,plain,
( spl18_4
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f1853,f302,f250]) ).
fof(f1873,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(false1),false1))
| ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(prop(sK6),sK6)) )
| ~ spl18_8 ),
inference(forward_demodulation,[],[f500,f308]) ).
fof(f1883,plain,
( false2 = lazy_impl(prop(false1),false1)
| err = lazy_impl(true,lazy_impl(prop(sK6),sK6))
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1495,f308]) ).
fof(f1889,plain,
( ! [X0] :
( ~ d(lazy_impl(true,false1))
| ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(prop(sK6),sK6)) )
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1873,f428]) ).
fof(f1899,plain,
( false2 = lazy_impl(true,false1)
| err = lazy_impl(true,lazy_impl(prop(sK6),sK6))
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1883,f428]) ).
fof(f1904,plain,
( ! [X0] :
( ~ d(false1)
| ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(prop(sK6),sK6)) )
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1889,f674]) ).
fof(f1913,plain,
( false1 = false2
| err = lazy_impl(true,lazy_impl(prop(sK6),sK6))
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1899,f674]) ).
fof(f1917,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0))
| ~ bool(lazy_impl(prop(sK6),sK6)) )
| ~ spl18_8 ),
inference(forward_subsumption_resolution,[],[f1904,f167]) ).
fof(f1925,plain,
( true = false1
| err = lazy_impl(true,lazy_impl(prop(sK6),sK6))
| ~ spl18_8
| ~ spl18_47 ),
inference(forward_demodulation,[],[f1913,f1525]) ).
fof(f1929,plain,
( ! [X0] :
( ~ bool(lazy_impl(prop(false1),false1))
| ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1917,f308]) ).
fof(f1937,plain,
( err = lazy_impl(true,lazy_impl(prop(sK6),sK6))
| ~ spl18_8
| ~ spl18_47 ),
inference(forward_subsumption_resolution,[],[f1925,f165]) ).
fof(f1940,plain,
( ! [X0] :
( ~ bool(lazy_impl(true,false1))
| ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1929,f428]) ).
fof(f1944,plain,
( err = false2
| ~ spl18_8
| ~ spl18_47 ),
inference(forward_demodulation,[],[f1937,f194]) ).
fof(f1945,plain,
( ! [X0] :
( ~ bool(false1)
| ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1940,f674]) ).
fof(f1951,plain,
( true = err
| ~ spl18_8
| ~ spl18_47 ),
inference(forward_demodulation,[],[f1944,f1525]) ).
fof(f1952,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl18_8 ),
inference(forward_subsumption_resolution,[],[f1945,f200]) ).
fof(f1954,plain,
( $false
| ~ spl18_8
| ~ spl18_47 ),
inference(forward_subsumption_resolution,[],[f1951,f93]) ).
fof(f1955,plain,
( ~ spl18_8
| ~ spl18_47 ),
inference(avatar_contradiction_clause,[],[f1954]) ).
fof(f1988,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(false1),false1))
| ~ spl18_8 ),
inference(superposition,[],[f195,f308]) ).
fof(f1989,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(true,false1))
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1988,f428]) ).
fof(f1992,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),false1)
| ~ spl18_8 ),
inference(forward_demodulation,[],[f1989,f674]) ).
fof(f2053,plain,
! [X0] :
( d(lazy_impl(prop(X0),X0))
| ~ d(lazy_impl(prop(sK6),sK6)) ),
inference(resolution,[],[f100,f195]) ).
fof(f2056,plain,
( ! [X0] :
( d(lazy_impl(prop(X0),X0))
| ~ d(false1) )
| ~ spl18_8 ),
inference(resolution,[],[f100,f1992]) ).
fof(f2058,plain,
( ! [X0] : d(lazy_impl(prop(X0),X0))
| ~ spl18_8 ),
inference(forward_subsumption_resolution,[],[f2056,f167]) ).
fof(f2096,plain,
( err != sF16
| ~ spl18_21
| spl18_22 ),
inference(superposition,[],[f465,f462]) ).
fof(f2144,plain,
( sF17 = not1(sF16)
| true = prop(sF16) ),
inference(superposition,[],[f513,f223]) ).
fof(f2262,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(X1,X0),X0))),lazy_impl(prop(sK2(false1,X1)),impl(impl(false1,sK2(false1,X1)),impl(impl(X1,sK2(false1,X1)),sK2(false1,X1)))))
| lazy_impl(true,X0) = impl(X0,X2) ),
inference(superposition,[],[f191,f712]) ).
fof(f3055,plain,
( ! [X0] : bool(lazy_impl(prop(X0),X0))
| ~ spl18_8 ),
inference(resolution,[],[f1952,f2058]) ).
fof(f3106,plain,
! [X2,X0,X1] :
( or1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = lazy_impl(X0,X2)
| true = prop(X1) ),
inference(resolution,[],[f408,f109]) ).
fof(f3110,plain,
! [X2,X0,X1] :
( or1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = lazy_impl(X0,X2)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f408,f164]) ).
fof(f3262,plain,
( ! [X0] : true = prop(lazy_impl(prop(X0),X0))
| ~ spl18_8 ),
inference(resolution,[],[f3055,f109]) ).
fof(f3266,plain,
( ! [X0] :
( false1 = lazy_impl(prop(X0),X0)
| true = lazy_impl(prop(X0),X0) )
| ~ spl18_8 ),
inference(resolution,[],[f3055,f164]) ).
fof(f3446,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(X0,impl(impl(X1,X0),X0))),lazy_impl(prop(sK2(true,X1)),impl(impl(true,sK2(true,X1)),impl(impl(X1,sK2(true,X1)),sK2(true,X1)))))
| lazy_impl(true,X0) = lazy_impl(X0,X2) ),
inference(superposition,[],[f191,f412]) ).
fof(f4014,plain,
! [X0,X1] :
( or1(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f510,f164]) ).
fof(f4031,plain,
( sF9 = lazy_impl(true,sK8)
| lazy_impl(true,sK7) = not1(sK7)
| true = sK8
| false1 = sK8 ),
inference(superposition,[],[f4014,f207]) ).
fof(f4544,plain,
! [X2,X0,X1] :
( ~ forallprefers(lazy_impl(prop(X1),lazy_impl(true,impl(X0,X1))),lazy_impl(prop(sK2(X0,X2)),lazy_impl(true,impl(X0,sK2(X0,X2)))))
| false1 = impl(X0,sK2(X0,X2))
| true = impl(X0,sK2(X0,X2))
| impl(X0,X1) = false1
| true = impl(X0,X1) ),
inference(superposition,[],[f1596,f285]) ).
fof(f4818,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| impl(true,X0) = X0
| false1 = prop(true) ),
inference(equality_factoring,[],[f676]) ).
fof(f4819,plain,
! [X0] :
( true = false1
| lazy_impl(true,X0) != X0
| impl(true,X0) = X0 ),
inference(forward_demodulation,[],[f4818,f265]) ).
fof(f4828,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| impl(true,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f4819,f165]) ).
fof(f4838,plain,
! [X0] :
( X0 != X0
| impl(true,X0) = X0
| err = lazy_impl(true,X0) ),
inference(superposition,[],[f4828,f172]) ).
fof(f4849,plain,
( err != err
| err = impl(true,err) ),
inference(superposition,[],[f4828,f497]) ).
fof(f4852,plain,
( sF13 != sF14
| sF13 = impl(true,sF13)
| ~ spl18_14 ),
inference(superposition,[],[f4828,f348]) ).
fof(f4869,plain,
err = impl(true,err),
inference(trivial_inequality_removal,[],[f4849]) ).
fof(f4873,plain,
! [X0] :
( impl(true,X0) = X0
| err = lazy_impl(true,X0) ),
inference(trivial_inequality_removal,[],[f4838]) ).
fof(f4983,plain,
! [X2,X0,X1] :
( lazy_impl(true,X0) = lazy_impl(X0,X2)
| impl(X0,X1) = lazy_impl(true,X1)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f576,f164]) ).
fof(f5060,plain,
! [X0] :
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sK7) = lazy_impl(sK7,X0)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f4983,f213]) ).
fof(f5459,plain,
! [X2,X0,X1] :
( lazy_impl(true,X0) = impl(X0,X2)
| impl(X0,X1) = lazy_impl(true,X1)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f575,f164]) ).
fof(f5604,plain,
! [X0] :
( sF13 = lazy_impl(true,sF10)
| lazy_impl(true,sK8) = impl(sK8,X0)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f215,f5459]) ).
fof(f6135,definition,
( spl18_70
<=> false1 = prop(err) ),
introduced(definition,[new_symbols(definition,[spl18_70])],[avatar_definition]) ).
fof(f6136,plain,
( false1 != prop(err)
| spl18_70 ),
inference(avatar_component_clause,[],[f6135]) ).
fof(f6137,plain,
( false1 = prop(err)
| ~ spl18_70 ),
inference(avatar_component_clause,[],[f6135]) ).
fof(f6787,plain,
! [X0,X1] :
( impl(X0,X1) = lazy_impl(true,X1)
| lazy_impl(true,X0) = not1(X0)
| true = X1
| false1 = X1 ),
inference(resolution,[],[f578,f164]) ).
fof(f6814,plain,
( sF13 = lazy_impl(true,sF10)
| lazy_impl(true,sK8) = not1(sK8)
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f6787,f215]) ).
fof(f6816,plain,
( sF15 = lazy_impl(true,sF14)
| lazy_impl(true,sF12) = not1(sF12)
| true = sF14
| false1 = sF14 ),
inference(superposition,[],[f6787,f219]) ).
fof(f7140,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(sK7,sF10),lazy_impl(true,impl(sK8,sF10)))))
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) ),
inference(superposition,[],[f1593,f209]) ).
fof(f7222,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(sK7,sF10),lazy_impl(true,sF13))))
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) ),
inference(forward_demodulation,[],[f7140,f215]) ).
fof(f7424,plain,
( false1 = not1(false1)
| true = err
| ~ spl18_49 ),
inference(superposition,[],[f1759,f1650]) ).
fof(f7787,plain,
( false1 = not1(false1)
| ~ spl18_49 ),
inference(forward_subsumption_resolution,[],[f7424,f93]) ).
fof(f7862,plain,
( true = false1
| ~ spl18_49 ),
inference(forward_demodulation,[],[f7787,f197]) ).
fof(f7901,plain,
( $false
| ~ spl18_49 ),
inference(forward_subsumption_resolution,[],[f7862,f165]) ).
fof(f7902,plain,
~ spl18_49,
inference(avatar_contradiction_clause,[],[f7901]) ).
fof(f9431,definition,
( spl18_74
<=> ! [X1] : false1 = impl(false1,X1) ),
introduced(definition,[new_symbols(definition,[spl18_74])],[avatar_definition]) ).
fof(f9432,plain,
( ! [X1] : false1 = impl(false1,X1)
| ~ spl18_74 ),
inference(avatar_component_clause,[],[f9431]) ).
fof(f10832,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| or1(false1,X0) = X0
| false1 = prop(false1) ),
inference(equality_factoring,[],[f603]) ).
fof(f10833,plain,
! [X0] :
( true = false1
| lazy_impl(true,X0) != X0
| or1(false1,X0) = X0 ),
inference(forward_demodulation,[],[f10832,f428]) ).
fof(f10839,plain,
! [X0] :
( lazy_impl(true,X0) != X0
| or1(false1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f10833,f165]) ).
fof(f10843,plain,
! [X0] :
( X0 != X0
| or1(false1,X0) = X0
| err = lazy_impl(true,X0) ),
inference(superposition,[],[f10839,f172]) ).
fof(f10862,plain,
( sF13 != sF14
| sF13 = or1(false1,sF13)
| ~ spl18_14 ),
inference(superposition,[],[f10839,f348]) ).
fof(f10891,plain,
! [X0] :
( or1(false1,X0) = X0
| err = lazy_impl(true,X0) ),
inference(trivial_inequality_removal,[],[f10843]) ).
fof(f13233,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),lazy_impl(prop(sK2(false1,false1)),impl(impl(false1,sK2(false1,false1)),impl(impl(false1,sK2(false1,false1)),sK2(false1,false1)))))
| impl(false1,X0) = lazy_impl(true,false1) ),
inference(superposition,[],[f2262,f723]) ).
fof(f13496,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),lazy_impl(prop(true),impl(impl(false1,true),impl(impl(false1,true),true))))
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13233,f1396]) ).
fof(f13524,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),lazy_impl(prop(true),impl(true,impl(true,true))))
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13496,f722]) ).
fof(f13532,definition,
( spl18_91
<=> ! [X0] : err = impl(err,X0) ),
introduced(definition,[new_symbols(definition,[spl18_91])],[avatar_definition]) ).
fof(f13533,plain,
( ! [X0] : err = impl(err,X0)
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f13532]) ).
fof(f13554,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),lazy_impl(prop(true),impl(true,true)))
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13524,f266]) ).
fof(f13575,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),lazy_impl(prop(true),true))
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13554,f266]) ).
fof(f13596,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),lazy_impl(true,true))
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13575,f265]) ).
fof(f13610,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,impl(true,false1))),true)
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13596,f407]) ).
fof(f13624,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),impl(true,false1)),true)
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13610,f429]) ).
fof(f13629,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(false1),false1),true)
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13624,f429]) ).
fof(f13634,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(true,false1),true)
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13629,f428]) ).
fof(f13639,plain,
( ! [X0] :
( ~ forallprefers(false1,true)
| impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13634,f674]) ).
fof(f13644,plain,
( ! [X0] : impl(false1,X0) = lazy_impl(true,false1)
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f13639,f203]) ).
fof(f13649,plain,
( ! [X0] : false1 = impl(false1,X0)
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_demodulation,[],[f13644,f674]) ).
fof(f13652,plain,
( spl18_74
| ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(avatar_split_clause,[],[f13649,f849,f368,f355,f9431]) ).
fof(f13690,plain,
( ! [X0] :
( true = false1
| prop(X0) = false1 )
| ~ spl18_74 ),
inference(superposition,[],[f711,f9432]) ).
fof(f13722,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(false1),false1),lazy_impl(prop(sK2(true,X0)),impl(impl(true,sK2(true,X0)),impl(impl(X0,sK2(true,X0)),sK2(true,X0)))))
| lazy_impl(true,false1) = lazy_impl(false1,X1) )
| ~ spl18_74 ),
inference(superposition,[],[f3446,f9432]) ).
fof(f13756,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK2(true,X0)),impl(impl(true,sK2(true,X0)),impl(impl(X0,sK2(true,X0)),sK2(true,X0)))))
| lazy_impl(true,false1) = lazy_impl(false1,X1) )
| ~ spl18_74 ),
inference(forward_demodulation,[],[f13722,f428]) ).
fof(f13778,plain,
( ! [X0] : prop(X0) = false1
| ~ spl18_74 ),
inference(forward_subsumption_resolution,[],[f13690,f165]) ).
fof(f13803,plain,
( ! [X0,X1] :
( ~ forallprefers(false1,lazy_impl(prop(sK2(true,X0)),impl(impl(true,sK2(true,X0)),impl(impl(X0,sK2(true,X0)),sK2(true,X0)))))
| lazy_impl(true,false1) = lazy_impl(false1,X1) )
| ~ spl18_74 ),
inference(forward_demodulation,[],[f13756,f674]) ).
fof(f13828,plain,
( ! [X0,X1] :
( ~ forallprefers(false1,lazy_impl(false1,impl(impl(true,sK2(true,X0)),impl(impl(X0,sK2(true,X0)),sK2(true,X0)))))
| lazy_impl(true,false1) = lazy_impl(false1,X1) )
| ~ spl18_74 ),
inference(forward_demodulation,[],[f13803,f13778]) ).
fof(f13848,plain,
( ! [X1] :
( ~ forallprefers(false1,true)
| lazy_impl(true,false1) = lazy_impl(false1,X1) )
| ~ spl18_74 ),
inference(forward_demodulation,[],[f13828,f179]) ).
fof(f13868,plain,
( ! [X1] : lazy_impl(true,false1) = lazy_impl(false1,X1)
| ~ spl18_74 ),
inference(forward_subsumption_resolution,[],[f13848,f203]) ).
fof(f13888,plain,
( true = lazy_impl(true,false1)
| ~ spl18_74 ),
inference(forward_demodulation,[],[f13868,f179]) ).
fof(f13901,plain,
( true = false1
| ~ spl18_74 ),
inference(forward_demodulation,[],[f13888,f674]) ).
fof(f13912,plain,
( $false
| ~ spl18_74 ),
inference(forward_subsumption_resolution,[],[f13901,f165]) ).
fof(f13913,plain,
~ spl18_74,
inference(avatar_contradiction_clause,[],[f13912]) ).
fof(f14451,plain,
( err = false1
| ~ spl18_10
| ~ spl18_44 ),
inference(forward_demodulation,[],[f331,f1100]) ).
fof(f14488,plain,
( $false
| ~ spl18_10
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f14451,f166]) ).
fof(f14489,plain,
( ~ spl18_10
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f14488]) ).
fof(f14615,plain,
( sF15 = lazy_impl(true,err)
| ~ spl18_11
| ~ spl18_44 ),
inference(forward_demodulation,[],[f335,f1100]) ).
fof(f14634,plain,
( sF16 = not1(sF16)
| true = prop(sF16)
| ~ spl18_21 ),
inference(forward_demodulation,[],[f2144,f462]) ).
fof(f14706,plain,
( err = sF15
| ~ spl18_11
| ~ spl18_44 ),
inference(forward_demodulation,[],[f14615,f497]) ).
fof(f14718,definition,
( spl18_101
<=> false1 = sF16 ),
introduced(definition,[new_symbols(definition,[spl18_101])],[avatar_definition]) ).
fof(f14719,plain,
( false1 != sF16
| spl18_101 ),
inference(avatar_component_clause,[],[f14718]) ).
fof(f14720,plain,
( false1 = sF16
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f14718]) ).
fof(f14722,definition,
( spl18_102
<=> true = sF16 ),
introduced(definition,[new_symbols(definition,[spl18_102])],[avatar_definition]) ).
fof(f14723,plain,
( true != sF16
| spl18_102 ),
inference(avatar_component_clause,[],[f14722]) ).
fof(f14724,plain,
( true = sF16
| ~ spl18_102 ),
inference(avatar_component_clause,[],[f14722]) ).
fof(f14726,definition,
( spl18_103
<=> sF16 = not1(sF16) ),
introduced(definition,[new_symbols(definition,[spl18_103])],[avatar_definition]) ).
fof(f14728,plain,
( sF16 = not1(sF16)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f14726]) ).
fof(f14735,definition,
( spl18_104
<=> true = prop(sF16) ),
introduced(definition,[new_symbols(definition,[spl18_104])],[avatar_definition]) ).
fof(f14736,plain,
( true != prop(sF16)
| spl18_104 ),
inference(avatar_component_clause,[],[f14735]) ).
fof(f14737,plain,
( true = prop(sF16)
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f14735]) ).
fof(f14740,plain,
( spl18_104
| spl18_103
| ~ spl18_21 ),
inference(avatar_split_clause,[],[f14634,f460,f14726,f14735]) ).
fof(f14941,plain,
( err != sF12
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_22 ),
inference(forward_demodulation,[],[f1329,f963]) ).
fof(f14957,plain,
( $false
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_22
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f14941,f1100]) ).
fof(f14958,plain,
( spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_22
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f14957]) ).
fof(f15062,plain,
( sF15 = sF16
| ~ spl18_1
| spl18_21
| ~ spl18_22 ),
inference(forward_subsumption_resolution,[],[f1415,f1272]) ).
fof(f15066,plain,
( sF16 = not1(sF12)
| true = sF15
| false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f1749,f1152]) ).
fof(f15101,plain,
( sF17 = not1(sF12)
| true = sF16
| false1 = sF16
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f1740,f1176]) ).
fof(f15157,plain,
( sF12 = not1(sF12)
| true = sF15
| false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15066,f1176]) ).
fof(f15191,plain,
( err = not1(sF12)
| true = sF16
| false1 = sF16
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15101,f466]) ).
fof(f15240,plain,
( true = sF12
| sF12 = not1(sF12)
| false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15157,f1152]) ).
fof(f15273,plain,
( true = sF12
| err = not1(sF12)
| false1 = sF16
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15191,f1176]) ).
fof(f15319,plain,
( sF12 = not1(sF12)
| false1 = sF15
| ~ spl18_1
| spl18_9
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15240,f326]) ).
fof(f15346,plain,
( err = not1(sF12)
| false1 = sF16
| ~ spl18_1
| spl18_9
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15273,f326]) ).
fof(f15362,plain,
( false1 = sF12
| sF12 = not1(sF12)
| ~ spl18_1
| spl18_9
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15319,f1152]) ).
fof(f15365,definition,
( spl18_110
<=> d(sF12) ),
introduced(definition,[new_symbols(definition,[spl18_110])],[avatar_definition]) ).
fof(f15366,plain,
( d(sF12)
| ~ spl18_110 ),
inference(avatar_component_clause,[],[f15365]) ).
fof(f15367,plain,
( ~ d(sF12)
| spl18_110 ),
inference(avatar_component_clause,[],[f15365]) ).
fof(f15391,plain,
( false1 = sF12
| err = not1(sF12)
| ~ spl18_1
| spl18_9
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15346,f1176]) ).
fof(f15402,plain,
( sF12 = not1(sF12)
| ~ spl18_1
| spl18_9
| spl18_10
| ~ spl18_11
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15362,f330]) ).
fof(f15417,plain,
( err = not1(sF12)
| ~ spl18_1
| spl18_9
| spl18_10
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15391,f330]) ).
fof(f15443,plain,
( err = sF12
| ~ spl18_1
| spl18_9
| spl18_10
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15417,f15402]) ).
fof(f15459,plain,
( $false
| ~ spl18_1
| spl18_9
| spl18_10
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| spl18_44
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15443,f1099]) ).
fof(f15460,plain,
( ~ spl18_1
| spl18_9
| spl18_10
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| spl18_44
| ~ spl18_45 ),
inference(avatar_contradiction_clause,[],[f15459]) ).
fof(f15474,plain,
( $false
| spl18_9
| ~ spl18_19
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f1394,f326]) ).
fof(f15475,plain,
( spl18_9
| ~ spl18_19
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f15474]) ).
fof(f15477,plain,
( sF9 != sF12
| ~ spl18_1
| ~ spl18_11
| ~ spl18_20
| ~ spl18_21
| ~ spl18_45 ),
inference(forward_demodulation,[],[f470,f1176]) ).
fof(f15491,plain,
( sF9 = lazy_impl(true,sK7)
| false1 = sK7
| spl18_18 ),
inference(forward_subsumption_resolution,[],[f476,f365]) ).
fof(f15510,plain,
( sF13 = impl(true,true)
| ~ spl18_15
| ~ spl18_28 ),
inference(forward_demodulation,[],[f1062,f353]) ).
fof(f15567,plain,
( sF9 = sF12
| false1 = sK7
| spl18_18
| ~ spl18_20 ),
inference(forward_demodulation,[],[f15491,f374]) ).
fof(f15580,plain,
( true = sF13
| ~ spl18_15
| ~ spl18_28 ),
inference(forward_demodulation,[],[f15510,f266]) ).
fof(f15633,plain,
( false1 = sK7
| ~ spl18_1
| ~ spl18_11
| spl18_18
| ~ spl18_20
| ~ spl18_21
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15567,f15477]) ).
fof(f15676,plain,
( false1 = sF12
| ~ spl18_1
| ~ spl18_11
| spl18_18
| ~ spl18_20
| ~ spl18_21
| ~ spl18_45 ),
inference(forward_demodulation,[],[f15633,f1104]) ).
fof(f15718,plain,
( $false
| ~ spl18_1
| spl18_10
| ~ spl18_11
| spl18_18
| ~ spl18_20
| ~ spl18_21
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15676,f330]) ).
fof(f15719,plain,
( ~ spl18_1
| spl18_10
| ~ spl18_11
| spl18_18
| ~ spl18_20
| ~ spl18_21
| ~ spl18_45 ),
inference(avatar_contradiction_clause,[],[f15718]) ).
fof(f15828,plain,
( false1 != sF12
| spl18_19
| ~ spl18_45 ),
inference(forward_demodulation,[],[f369,f1104]) ).
fof(f15838,definition,
( spl18_115
<=> err = sF14 ),
introduced(definition,[new_symbols(definition,[spl18_115])],[avatar_definition]) ).
fof(f15839,plain,
( err != sF14
| spl18_115 ),
inference(avatar_component_clause,[],[f15838]) ).
fof(f15840,plain,
( err = sF14
| ~ spl18_115 ),
inference(avatar_component_clause,[],[f15838]) ).
fof(f15842,definition,
( spl18_116
<=> sF13 = sF14 ),
introduced(definition,[new_symbols(definition,[spl18_116])],[avatar_definition]) ).
fof(f15843,plain,
( sF13 != sF14
| spl18_116 ),
inference(avatar_component_clause,[],[f15842]) ).
fof(f15844,plain,
( sF13 = sF14
| ~ spl18_116 ),
inference(avatar_component_clause,[],[f15842]) ).
fof(f15847,plain,
( err = sF14
| sF13 = sF14
| ~ spl18_14 ),
inference(forward_demodulation,[],[f1162,f348]) ).
fof(f15853,definition,
( spl18_117
<=> sF13 = impl(true,sF13) ),
introduced(definition,[new_symbols(definition,[spl18_117])],[avatar_definition]) ).
fof(f15855,plain,
( sF13 = impl(true,sF13)
| ~ spl18_117 ),
inference(avatar_component_clause,[],[f15853]) ).
fof(f15856,plain,
( spl18_117
| ~ spl18_116
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f4852,f346,f15842,f15853]) ).
fof(f15866,plain,
( sF15 = lazy_impl(true,sF14)
| lazy_impl(true,sF12) = not1(sF12)
| false1 = sF14
| spl18_33 ),
inference(forward_subsumption_resolution,[],[f6816,f886]) ).
fof(f15869,definition,
( spl18_118
<=> sF13 = or1(false1,sF13) ),
introduced(definition,[new_symbols(definition,[spl18_118])],[avatar_definition]) ).
fof(f15871,plain,
( sF13 = or1(false1,sF13)
| ~ spl18_118 ),
inference(avatar_component_clause,[],[f15869]) ).
fof(f15872,plain,
( spl18_118
| ~ spl18_116
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f10862,f346,f15842,f15869]) ).
fof(f15931,plain,
( sF14 = not1(sF13)
| false1 = sF13
| spl18_12
| ~ spl18_14 ),
inference(forward_subsumption_resolution,[],[f1748,f339]) ).
fof(f15938,definition,
( spl18_120
<=> sF14 = not1(sF13) ),
introduced(definition,[new_symbols(definition,[spl18_120])],[avatar_definition]) ).
fof(f15940,plain,
( sF14 = not1(sF13)
| ~ spl18_120 ),
inference(avatar_component_clause,[],[f15938]) ).
fof(f15956,plain,
( $false
| spl18_12
| ~ spl18_15
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f15580,f339]) ).
fof(f15957,plain,
( spl18_12
| ~ spl18_15
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f15956]) ).
fof(f15978,plain,
( $false
| ~ spl18_10
| spl18_19
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f15828,f331]) ).
fof(f15979,plain,
( ~ spl18_10
| spl18_19
| ~ spl18_45 ),
inference(avatar_contradiction_clause,[],[f15978]) ).
fof(f15983,plain,
( spl18_116
| spl18_115
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f15847,f346,f15838,f15842]) ).
fof(f16040,plain,
( sF14 = not1(sF13)
| spl18_12
| spl18_13
| ~ spl18_14 ),
inference(forward_subsumption_resolution,[],[f15931,f343]) ).
fof(f16123,plain,
( spl18_120
| spl18_12
| spl18_13
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f16040,f346,f342,f338,f15938]) ).
fof(f16381,plain,
( false1 = prop(sF12)
| ~ spl18_37
| ~ spl18_45 ),
inference(forward_demodulation,[],[f930,f1104]) ).
fof(f16384,plain,
( err != sF13
| ~ spl18_115
| spl18_116 ),
inference(forward_demodulation,[],[f15843,f15840]) ).
fof(f16385,plain,
( err = not1(sF13)
| ~ spl18_115
| ~ spl18_120 ),
inference(forward_demodulation,[],[f15940,f15840]) ).
fof(f16804,definition,
( spl18_124
<=> sK8 = impl(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl18_124])],[avatar_definition]) ).
fof(f16805,plain,
( sK8 != impl(true,sK8)
| spl18_124 ),
inference(avatar_component_clause,[],[f16804]) ).
fof(f16806,plain,
( sK8 = impl(true,sK8)
| ~ spl18_124 ),
inference(avatar_component_clause,[],[f16804]) ).
fof(f16831,definition,
( spl18_125
<=> sK8 = or1(false1,sK8) ),
introduced(definition,[new_symbols(definition,[spl18_125])],[avatar_definition]) ).
fof(f16833,plain,
( sK8 = or1(false1,sK8)
| ~ spl18_125 ),
inference(avatar_component_clause,[],[f16831]) ).
fof(f16999,definition,
( spl18_131
<=> forallprefers(lazy_impl(true,impl(false1,err)),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),impl(impl(sK8,sK2(true,sK8)),sK2(true,sK8))))) ),
introduced(definition,[new_symbols(definition,[spl18_131])],[avatar_definition]) ).
fof(f17000,plain,
( forallprefers(lazy_impl(true,impl(false1,err)),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),impl(impl(sK8,sK2(true,sK8)),sK2(true,sK8)))))
| ~ spl18_131 ),
inference(avatar_component_clause,[],[f16999]) ).
fof(f17001,plain,
( ~ forallprefers(lazy_impl(true,impl(false1,err)),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),impl(impl(sK8,sK2(true,sK8)),sK2(true,sK8)))))
| spl18_131 ),
inference(avatar_component_clause,[],[f16999]) ).
fof(f17067,plain,
( ~ bool(false1)
| ~ spl18_10
| ~ spl18_40 ),
inference(forward_demodulation,[],[f1087,f331]) ).
fof(f17077,plain,
( $false
| ~ spl18_10
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f17067,f200]) ).
fof(f17078,plain,
( ~ spl18_10
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f17077]) ).
fof(f17095,plain,
( sF14 = impl(sF13,false1)
| ~ spl18_27 ),
inference(superposition,[],[f217,f847]) ).
fof(f17124,plain,
( sF16 = not1(err)
| true = sF15
| false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_44 ),
inference(forward_demodulation,[],[f1739,f14706]) ).
fof(f17147,definition,
( spl18_137
<=> sF16 = or1(false1,sF16) ),
introduced(definition,[new_symbols(definition,[spl18_137])],[avatar_definition]) ).
fof(f17148,plain,
( sF16 != or1(false1,sF16)
| spl18_137 ),
inference(avatar_component_clause,[],[f17147]) ).
fof(f17149,plain,
( sF16 = or1(false1,sF16)
| ~ spl18_137 ),
inference(avatar_component_clause,[],[f17147]) ).
fof(f17169,plain,
( sF15 = lazy_impl(true,err)
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_demodulation,[],[f891,f15840]) ).
fof(f17171,plain,
( sF13 != sF16
| ~ spl18_21
| ~ spl18_38 ),
inference(forward_demodulation,[],[f470,f934]) ).
fof(f17228,plain,
( err = sF16
| true = sF15
| false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_44 ),
inference(forward_demodulation,[],[f17124,f1759]) ).
fof(f17256,plain,
( err = sF15
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_demodulation,[],[f17169,f497]) ).
fof(f17303,plain,
( true = sF15
| false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f17228,f2096]) ).
fof(f17360,plain,
( true = err
| false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_44 ),
inference(forward_demodulation,[],[f17303,f14706]) ).
fof(f17384,plain,
( false1 = sF15
| ~ spl18_1
| ~ spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f17360,f93]) ).
fof(f17409,plain,
( err = false1
| ~ spl18_1
| ~ spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_44 ),
inference(forward_demodulation,[],[f17384,f14706]) ).
fof(f17433,plain,
( $false
| ~ spl18_1
| ~ spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f17409,f166]) ).
fof(f17434,plain,
( ~ spl18_1
| ~ spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f17433]) ).
fof(f17457,plain,
( err != sF13
| ~ spl18_22
| ~ spl18_38 ),
inference(forward_demodulation,[],[f1329,f934]) ).
fof(f17504,plain,
( sF12 = impl(false1,sF10)
| ~ spl18_19 ),
inference(superposition,[],[f213,f370]) ).
fof(f17506,plain,
( sF12 = impl(false1,false1)
| ~ spl18_19
| ~ spl18_27 ),
inference(forward_demodulation,[],[f17504,f847]) ).
fof(f17509,plain,
( true = sF12
| ~ spl18_19
| ~ spl18_27 ),
inference(forward_demodulation,[],[f17506,f723]) ).
fof(f17510,plain,
( $false
| spl18_9
| ~ spl18_19
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f17509,f326]) ).
fof(f17511,plain,
( spl18_9
| ~ spl18_19
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f17510]) ).
fof(f17529,plain,
( sF12 = impl(true,sF10)
| ~ spl18_18 ),
inference(superposition,[],[f213,f366]) ).
fof(f17530,plain,
( sF12 = impl(true,false1)
| ~ spl18_18
| ~ spl18_27 ),
inference(forward_demodulation,[],[f17529,f847]) ).
fof(f17533,plain,
( false1 = sF12
| ~ spl18_18
| ~ spl18_27 ),
inference(forward_demodulation,[],[f17530,f429]) ).
fof(f17534,plain,
( $false
| spl18_10
| ~ spl18_18
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f17533,f330]) ).
fof(f17535,plain,
( spl18_10
| ~ spl18_18
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f17534]) ).
fof(f17554,plain,
( sF15 = lazy_impl(true,false1)
| ~ spl18_10
| ~ spl18_11 ),
inference(forward_demodulation,[],[f335,f331]) ).
fof(f17626,plain,
( false1 = sF15
| ~ spl18_10
| ~ spl18_11 ),
inference(forward_demodulation,[],[f17554,f674]) ).
fof(f17902,plain,
( sF14 = impl(false1,false1)
| ~ spl18_13
| ~ spl18_27 ),
inference(forward_demodulation,[],[f17095,f344]) ).
fof(f17961,plain,
( true = sF14
| ~ spl18_13
| ~ spl18_27 ),
inference(forward_demodulation,[],[f17902,f723]) ).
fof(f18013,plain,
( $false
| ~ spl18_13
| ~ spl18_27
| spl18_33 ),
inference(forward_subsumption_resolution,[],[f17961,f886]) ).
fof(f18014,plain,
( ~ spl18_13
| ~ spl18_27
| spl18_33 ),
inference(avatar_contradiction_clause,[],[f18013]) ).
fof(f18177,plain,
( spl18_15
| ~ spl18_12
| ~ spl18_17 ),
inference(avatar_split_clause,[],[f1125,f359,f338,f351]) ).
fof(f18179,plain,
( $false
| ~ spl18_15
| ~ spl18_18
| spl18_24 ),
inference(forward_subsumption_resolution,[],[f485,f542]) ).
fof(f18180,plain,
( ~ spl18_15
| ~ spl18_18
| spl18_24 ),
inference(avatar_contradiction_clause,[],[f18179]) ).
fof(f18394,definition,
( spl18_154
<=> true = prop(sF15) ),
introduced(definition,[new_symbols(definition,[spl18_154])],[avatar_definition]) ).
fof(f18395,plain,
( true != prop(sF15)
| spl18_154 ),
inference(avatar_component_clause,[],[f18394]) ).
fof(f18396,plain,
( true = prop(sF15)
| ~ spl18_154 ),
inference(avatar_component_clause,[],[f18394]) ).
fof(f18509,plain,
( sF13 = not1(sF13)
| ~ spl18_116
| ~ spl18_120 ),
inference(forward_demodulation,[],[f15940,f15844]) ).
fof(f18669,definition,
( spl18_157
<=> ! [X0] : sF13 = impl(sF13,X0) ),
introduced(definition,[new_symbols(definition,[spl18_157])],[avatar_definition]) ).
fof(f18670,plain,
( ! [X0] : sF13 = impl(sF13,X0)
| ~ spl18_157 ),
inference(avatar_component_clause,[],[f18669]) ).
fof(f18886,plain,
( sF13 = impl(true,sF10)
| ~ spl18_15 ),
inference(superposition,[],[f215,f353]) ).
fof(f18887,plain,
( sF13 = impl(true,false1)
| ~ spl18_15
| ~ spl18_27 ),
inference(forward_demodulation,[],[f18886,f847]) ).
fof(f18890,plain,
( false1 = sF13
| ~ spl18_15
| ~ spl18_27 ),
inference(forward_demodulation,[],[f18887,f429]) ).
fof(f18893,plain,
( $false
| spl18_13
| ~ spl18_15
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f18890,f343]) ).
fof(f18894,plain,
( spl18_13
| ~ spl18_15
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f18893]) ).
fof(f18915,plain,
( sK8 = sF13
| ~ spl18_32
| ~ spl18_38 ),
inference(forward_demodulation,[],[f875,f934]) ).
fof(f18963,plain,
( sF13 = not1(sK8)
| true = sK8
| false1 = sK8
| ~ spl18_17 ),
inference(superposition,[],[f361,f511]) ).
fof(f18979,plain,
( sF13 = not1(sK8)
| true = sK8
| false1 = sK8
| ~ spl18_17 ),
inference(superposition,[],[f511,f361]) ).
fof(f18998,plain,
( sF13 = not1(sK8)
| false1 = sK8
| spl18_15
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f18979,f352]) ).
fof(f19000,plain,
( sF13 = not1(sK8)
| false1 = sK8
| spl18_15
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f18963,f352]) ).
fof(f19003,plain,
( sF13 = not1(sK8)
| spl18_15
| spl18_16
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f18998,f356]) ).
fof(f19004,plain,
( sF13 = not1(sK8)
| spl18_15
| spl18_16
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f19000,f356]) ).
fof(f19005,plain,
( sF13 = not1(sF13)
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_32
| ~ spl18_38 ),
inference(forward_demodulation,[],[f19003,f18915]) ).
fof(f19006,plain,
( sF13 = not1(sF13)
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_32
| ~ spl18_38 ),
inference(forward_demodulation,[],[f19004,f18915]) ).
fof(f19022,plain,
( d(lazy_impl(true,sF16))
| ~ spl18_8
| ~ spl18_104 ),
inference(superposition,[],[f2058,f14737]) ).
fof(f19025,plain,
( bool(lazy_impl(true,sF16))
| ~ spl18_8
| ~ spl18_104 ),
inference(superposition,[],[f3055,f14737]) ).
fof(f19027,plain,
( true = prop(lazy_impl(true,sF16))
| ~ spl18_8
| ~ spl18_104 ),
inference(superposition,[],[f3262,f14737]) ).
fof(f19035,plain,
( true = prop(sF17)
| ~ spl18_8
| ~ spl18_104 ),
inference(forward_demodulation,[],[f19027,f223]) ).
fof(f19036,plain,
( bool(sF17)
| ~ spl18_8
| ~ spl18_104 ),
inference(forward_demodulation,[],[f19025,f223]) ).
fof(f19039,plain,
( d(sF17)
| ~ spl18_8
| ~ spl18_104 ),
inference(forward_demodulation,[],[f19022,f223]) ).
fof(f19056,plain,
( bool(sF16)
| ~ spl18_8
| ~ spl18_21
| ~ spl18_104 ),
inference(forward_demodulation,[],[f19036,f462]) ).
fof(f19059,plain,
( d(sF16)
| ~ spl18_8
| ~ spl18_21
| ~ spl18_104 ),
inference(forward_demodulation,[],[f19039,f462]) ).
fof(f19158,plain,
( sF9 != sF16
| ~ spl18_21 ),
inference(superposition,[],[f224,f462]) ).
fof(f19171,plain,
( lazy_impl(true,sF14) = not1(sF14)
| ~ spl18_25 ),
inference(resolution,[],[f1707,f196]) ).
fof(f19185,plain,
( impl(true,sF14) = lazy_impl(true,sF14)
| ~ spl18_25 ),
inference(resolution,[],[f1707,f581]) ).
fof(f19186,plain,
( impl(false1,sF14) = lazy_impl(true,sF14)
| ~ spl18_25 ),
inference(resolution,[],[f1707,f582]) ).
fof(f19195,plain,
( ~ bool(sF13)
| ~ spl18_25
| ~ spl18_116 ),
inference(superposition,[],[f1707,f15844]) ).
fof(f19204,plain,
( sF15 = impl(false1,sF14)
| ~ spl18_25
| ~ spl18_34 ),
inference(forward_demodulation,[],[f19186,f891]) ).
fof(f19205,plain,
( sF15 = impl(true,sF14)
| ~ spl18_25
| ~ spl18_34 ),
inference(forward_demodulation,[],[f19185,f891]) ).
fof(f19233,plain,
( sF15 = impl(false1,sF13)
| ~ spl18_25
| ~ spl18_34
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19204,f15844]) ).
fof(f19234,plain,
( sF15 = impl(true,sF13)
| ~ spl18_25
| ~ spl18_34
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19205,f15844]) ).
fof(f19263,plain,
( sF13 = sF15
| ~ spl18_25
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f19234,f15855]) ).
fof(f19292,plain,
( false1 = sF13
| ~ spl18_30
| ~ spl18_116 ),
inference(forward_demodulation,[],[f859,f15844]) ).
fof(f19303,plain,
( sF15 = lazy_impl(true,sF13)
| lazy_impl(true,sF12) = not1(sF12)
| false1 = sF14
| spl18_33
| ~ spl18_116 ),
inference(forward_demodulation,[],[f15866,f15844]) ).
fof(f19328,plain,
( $false
| spl18_13
| ~ spl18_30
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f19292,f343]) ).
fof(f19329,plain,
( spl18_13
| ~ spl18_30
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f19328]) ).
fof(f19340,plain,
( sF14 = sF15
| lazy_impl(true,sF12) = not1(sF12)
| false1 = sF14
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19303,f348]) ).
fof(f19374,plain,
( false1 = sF14
| lazy_impl(true,sF12) = not1(sF12)
| false1 = sF14
| ~ spl18_10
| ~ spl18_11
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19340,f17626]) ).
fof(f19375,plain,
( false1 = sF14
| lazy_impl(true,sF12) = not1(sF12)
| ~ spl18_10
| ~ spl18_11
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(duplicate_literal_removal,[],[f19374]) ).
fof(f19404,plain,
( false1 = sF13
| lazy_impl(true,sF12) = not1(sF12)
| ~ spl18_10
| ~ spl18_11
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19375,f15844]) ).
fof(f19420,plain,
( lazy_impl(true,sF12) = not1(sF12)
| ~ spl18_10
| ~ spl18_11
| spl18_13
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f19404,f343]) ).
fof(f19433,plain,
( not1(false1) = lazy_impl(true,false1)
| ~ spl18_10
| ~ spl18_11
| spl18_13
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19420,f331]) ).
fof(f19442,plain,
( false1 = not1(false1)
| ~ spl18_10
| ~ spl18_11
| spl18_13
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19433,f674]) ).
fof(f19450,plain,
( true = false1
| ~ spl18_10
| ~ spl18_11
| spl18_13
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19442,f197]) ).
fof(f19460,plain,
( $false
| ~ spl18_10
| ~ spl18_11
| spl18_13
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f19450,f165]) ).
fof(f19461,plain,
( ~ spl18_10
| ~ spl18_11
| spl18_13
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f19460]) ).
fof(f19477,plain,
( sK8 != sF13
| spl18_32
| ~ spl18_38 ),
inference(forward_demodulation,[],[f874,f934]) ).
fof(f19521,plain,
( impl(true,sF14) = not1(sF14)
| ~ spl18_25 ),
inference(forward_demodulation,[],[f19185,f19171]) ).
fof(f19547,plain,
( sF13 = lazy_impl(true,false1)
| true = prop(sK8)
| ~ spl18_16 ),
inference(forward_demodulation,[],[f737,f357]) ).
fof(f19629,plain,
( not1(false1) = impl(true,false1)
| ~ spl18_25
| ~ spl18_30 ),
inference(forward_demodulation,[],[f19521,f859]) ).
fof(f19637,plain,
( false1 = sF13
| true = prop(sK8)
| ~ spl18_16 ),
inference(forward_demodulation,[],[f19547,f674]) ).
fof(f19715,plain,
( false1 = not1(false1)
| ~ spl18_25
| ~ spl18_30 ),
inference(forward_demodulation,[],[f19629,f429]) ).
fof(f19720,plain,
( true = prop(sK8)
| spl18_13
| ~ spl18_16 ),
inference(forward_subsumption_resolution,[],[f19637,f343]) ).
fof(f19790,plain,
( true = false1
| ~ spl18_25
| ~ spl18_30 ),
inference(forward_demodulation,[],[f19715,f197]) ).
fof(f19798,plain,
( true = false1
| spl18_13
| ~ spl18_16
| ~ spl18_23 ),
inference(forward_demodulation,[],[f19720,f539]) ).
fof(f19858,plain,
( $false
| ~ spl18_25
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f19790,f165]) ).
fof(f19859,plain,
( ~ spl18_25
| ~ spl18_30 ),
inference(avatar_contradiction_clause,[],[f19858]) ).
fof(f19862,plain,
( $false
| spl18_13
| ~ spl18_16
| ~ spl18_23 ),
inference(forward_subsumption_resolution,[],[f19798,f165]) ).
fof(f19863,plain,
( spl18_13
| ~ spl18_16
| ~ spl18_23 ),
inference(avatar_contradiction_clause,[],[f19862]) ).
fof(f20062,plain,
( $false
| spl18_12
| ~ spl18_14
| ~ spl18_33 ),
inference(forward_subsumption_resolution,[],[f1172,f339]) ).
fof(f20063,plain,
( spl18_12
| ~ spl18_14
| ~ spl18_33 ),
inference(avatar_contradiction_clause,[],[f20062]) ).
fof(f20134,plain,
( sF9 = lazy_impl(true,sK8)
| lazy_impl(true,sK7) = not1(sK7)
| false1 = sK8
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f4031,f352]) ).
fof(f20143,plain,
( sF9 = lazy_impl(true,sK8)
| true = sK8
| false1 = sK8
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f611,f929]) ).
fof(f20153,plain,
( true != sF13
| ~ spl18_33
| spl18_116 ),
inference(forward_demodulation,[],[f15843,f887]) ).
fof(f20236,plain,
( sF9 = lazy_impl(true,sK8)
| lazy_impl(true,sK7) = not1(sK7)
| spl18_15
| spl18_16 ),
inference(forward_subsumption_resolution,[],[f20134,f356]) ).
fof(f20245,plain,
( sF9 = lazy_impl(true,sK8)
| false1 = sK8
| spl18_15
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f20143,f352]) ).
fof(f20313,plain,
( sF9 = sF13
| lazy_impl(true,sK7) = not1(sK7)
| spl18_15
| spl18_16
| ~ spl18_17 ),
inference(forward_demodulation,[],[f20236,f361]) ).
fof(f20322,plain,
( sF9 = lazy_impl(true,sK8)
| spl18_15
| spl18_16
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f20245,f356]) ).
fof(f20354,plain,
( sF9 = sF13
| spl18_15
| spl18_16
| ~ spl18_17
| spl18_37 ),
inference(forward_demodulation,[],[f20322,f361]) ).
fof(f20505,plain,
( true = not1(true)
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_demodulation,[],[f14728,f14724]) ).
fof(f20507,plain,
( true = err
| sF15 = sF16
| ~ spl18_1
| ~ spl18_102 ),
inference(forward_demodulation,[],[f1414,f14724]) ).
fof(f20560,plain,
( true = false1
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_demodulation,[],[f20505,f198]) ).
fof(f20561,plain,
( sF15 = sF16
| ~ spl18_1
| ~ spl18_102 ),
inference(forward_subsumption_resolution,[],[f20507,f93]) ).
fof(f20605,plain,
( $false
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f20560,f165]) ).
fof(f20606,plain,
( ~ spl18_102
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f20605]) ).
fof(f20607,plain,
( true = sF15
| ~ spl18_1
| ~ spl18_102 ),
inference(forward_demodulation,[],[f20561,f14724]) ).
fof(f20784,plain,
( sK8 = sF13
| err = lazy_impl(true,sK8)
| ~ spl18_17 ),
inference(superposition,[],[f361,f172]) ).
fof(f20800,plain,
( sK8 = sF13
| err = sF13
| ~ spl18_17 ),
inference(superposition,[],[f172,f361]) ).
fof(f20817,plain,
( err = sF13
| ~ spl18_17
| spl18_32
| ~ spl18_38 ),
inference(forward_subsumption_resolution,[],[f20800,f19477]) ).
fof(f20838,plain,
( false1 = sK8
| err = lazy_impl(true,sK8)
| ~ spl18_13
| ~ spl18_17 ),
inference(forward_demodulation,[],[f20784,f344]) ).
fof(f20846,plain,
( err = lazy_impl(true,sK8)
| ~ spl18_13
| spl18_16
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f20838,f356]) ).
fof(f20855,plain,
( err = sF13
| ~ spl18_13
| spl18_16
| ~ spl18_17 ),
inference(forward_demodulation,[],[f20846,f361]) ).
fof(f20860,plain,
( err = false1
| ~ spl18_13
| spl18_16
| ~ spl18_17 ),
inference(forward_demodulation,[],[f20855,f344]) ).
fof(f20861,plain,
( $false
| ~ spl18_13
| spl18_16
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f20860,f166]) ).
fof(f20862,plain,
( ~ spl18_13
| spl18_16
| ~ spl18_17 ),
inference(avatar_contradiction_clause,[],[f20861]) ).
fof(f20918,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(sK7,sF10),sF14)))
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14 ),
inference(forward_demodulation,[],[f7222,f348]) ).
fof(f20921,plain,
( err = sF13
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_32
| ~ spl18_38
| ~ spl18_115
| ~ spl18_120 ),
inference(forward_demodulation,[],[f19006,f16385]) ).
fof(f20974,plain,
( $false
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_32
| ~ spl18_38
| ~ spl18_115
| spl18_116
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f20921,f16384]) ).
fof(f20975,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_32
| ~ spl18_38
| ~ spl18_115
| spl18_116
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f20974]) ).
fof(f21406,plain,
( sF16 = not1(sF15)
| true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11 ),
inference(forward_subsumption_resolution,[],[f1739,f1186]) ).
fof(f21416,plain,
( sF13 != sF14
| ~ spl18_25
| spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f559,f19263]) ).
fof(f21450,plain,
( sF16 = not1(sF13)
| true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_25
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f21406,f19263]) ).
fof(f21459,plain,
( $false
| ~ spl18_25
| spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_subsumption_resolution,[],[f21416,f15844]) ).
fof(f21460,plain,
( ~ spl18_25
| spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117 ),
inference(avatar_contradiction_clause,[],[f21459]) ).
fof(f21481,plain,
( sF13 = sF16
| true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_25
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_demodulation,[],[f21450,f18509]) ).
fof(f21505,plain,
( true = sF13
| true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_25
| ~ spl18_34
| ~ spl18_102
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_demodulation,[],[f21481,f14724]) ).
fof(f21529,plain,
( true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_25
| ~ spl18_34
| ~ spl18_102
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f21505,f339]) ).
fof(f21544,plain,
( true = sF13
| ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_25
| ~ spl18_34
| ~ spl18_102
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_demodulation,[],[f21529,f19263]) ).
fof(f21557,plain,
( $false
| ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_25
| ~ spl18_34
| ~ spl18_102
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f21544,f339]) ).
fof(f21558,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_25
| ~ spl18_34
| ~ spl18_102
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f21557]) ).
fof(f21609,definition,
( spl18_173
<=> forallprefers(sF13,true) ),
introduced(definition,[new_symbols(definition,[spl18_173])],[avatar_definition]) ).
fof(f21610,plain,
( forallprefers(sF13,true)
| ~ spl18_173 ),
inference(avatar_component_clause,[],[f21609]) ).
fof(f21634,plain,
( false1 = sF15
| err = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_101 ),
inference(forward_demodulation,[],[f1412,f14720]) ).
fof(f21662,plain,
( err = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_101 ),
inference(forward_subsumption_resolution,[],[f21634,f1186]) ).
fof(f21677,plain,
( err = sF16
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_101 ),
inference(forward_demodulation,[],[f21662,f1173]) ).
fof(f21693,plain,
( err = false1
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_101 ),
inference(forward_demodulation,[],[f21677,f14720]) ).
fof(f21705,plain,
( $false
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_101 ),
inference(forward_subsumption_resolution,[],[f21693,f166]) ).
fof(f21706,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_101 ),
inference(avatar_contradiction_clause,[],[f21705]) ).
fof(f21740,plain,
( sF13 = sF16
| err = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_25
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f1412,f19263]) ).
fof(f21750,plain,
( true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_21
| ~ spl18_25
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f21481,f17171]) ).
fof(f21753,plain,
( err = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_21
| ~ spl18_25
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_subsumption_resolution,[],[f21740,f17171]) ).
fof(f21761,plain,
( true = sF13
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_21
| ~ spl18_25
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_demodulation,[],[f21750,f19263]) ).
fof(f21766,plain,
( err = sF16
| ~ spl18_1
| ~ spl18_21
| ~ spl18_25
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f21753,f1173]) ).
fof(f21774,plain,
( $false
| ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_21
| ~ spl18_25
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f21761,f339]) ).
fof(f21775,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_21
| ~ spl18_25
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f21774]) ).
fof(f21795,definition,
( spl18_175
<=> forallprefers(sF13,sF16) ),
introduced(definition,[new_symbols(definition,[spl18_175])],[avatar_definition]) ).
fof(f21796,plain,
( forallprefers(sF13,sF16)
| ~ spl18_175 ),
inference(avatar_component_clause,[],[f21795]) ).
fof(f21797,plain,
( ~ forallprefers(sF13,sF16)
| spl18_175 ),
inference(avatar_component_clause,[],[f21795]) ).
fof(f21803,plain,
( false1 = prop(true)
| ~ spl18_18
| ~ spl18_37 ),
inference(forward_demodulation,[],[f930,f366]) ).
fof(f21846,definition,
( spl18_176
<=> sK8 = sF13 ),
introduced(definition,[new_symbols(definition,[spl18_176])],[avatar_definition]) ).
fof(f21847,plain,
( sK8 = sF13
| ~ spl18_176 ),
inference(avatar_component_clause,[],[f21846]) ).
fof(f21852,definition,
( spl18_177
<=> err = sF13 ),
introduced(definition,[new_symbols(definition,[spl18_177])],[avatar_definition]) ).
fof(f21853,plain,
( err != sF13
| spl18_177 ),
inference(avatar_component_clause,[],[f21852]) ).
fof(f21854,plain,
( err = sF13
| ~ spl18_177 ),
inference(avatar_component_clause,[],[f21852]) ).
fof(f21868,plain,
( true = false1
| ~ spl18_18
| ~ spl18_37 ),
inference(forward_demodulation,[],[f21803,f265]) ).
fof(f21909,plain,
( $false
| ~ spl18_18
| ~ spl18_37 ),
inference(forward_subsumption_resolution,[],[f21868,f165]) ).
fof(f21910,plain,
( ~ spl18_18
| ~ spl18_37 ),
inference(avatar_contradiction_clause,[],[f21909]) ).
fof(f22030,plain,
( spl18_38
| spl18_15
| spl18_16
| ~ spl18_17
| spl18_37 ),
inference(avatar_split_clause,[],[f20354,f928,f359,f355,f351,f932]) ).
fof(f22031,plain,
( spl18_177
| ~ spl18_17
| spl18_32
| ~ spl18_38 ),
inference(avatar_split_clause,[],[f20817,f932,f873,f359,f21852]) ).
fof(f22032,plain,
( ~ spl18_176
| spl18_32
| ~ spl18_38 ),
inference(avatar_split_clause,[],[f19477,f932,f873,f21846]) ).
fof(f22035,plain,
( err != sF13
| ~ spl18_115
| spl18_116 ),
inference(forward_demodulation,[],[f15843,f15840]) ).
fof(f22087,plain,
( sF16 = not1(err)
| true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_demodulation,[],[f21406,f17256]) ).
fof(f22090,plain,
( err = sF16
| err = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_demodulation,[],[f1412,f17256]) ).
fof(f22125,plain,
( $false
| ~ spl18_115
| spl18_116
| ~ spl18_177 ),
inference(forward_subsumption_resolution,[],[f22035,f21854]) ).
fof(f22126,plain,
( ~ spl18_115
| spl18_116
| ~ spl18_177 ),
inference(avatar_contradiction_clause,[],[f22125]) ).
fof(f22171,plain,
( err = sF16
| true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_demodulation,[],[f22087,f1759]) ).
fof(f22173,plain,
( err = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f22090,f2096]) ).
fof(f22222,plain,
( true = sF15
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f22171,f2096]) ).
fof(f22223,plain,
( err = sF16
| ~ spl18_1
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_demodulation,[],[f22173,f1173]) ).
fof(f22247,plain,
( true = err
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_demodulation,[],[f22222,f17256]) ).
fof(f22248,plain,
( $false
| ~ spl18_1
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f22223,f2096]) ).
fof(f22249,plain,
( ~ spl18_1
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f22248]) ).
fof(f22267,plain,
( $false
| ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f22247,f93]) ).
fof(f22268,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f22267]) ).
fof(f22325,plain,
( true = false1
| ~ spl18_9
| ~ spl18_10 ),
inference(forward_demodulation,[],[f327,f331]) ).
fof(f22337,plain,
( false1 = prop(false1)
| ~ spl18_19
| ~ spl18_37 ),
inference(forward_demodulation,[],[f930,f370]) ).
fof(f22372,plain,
( lazy_impl(true,sK7) = not1(sK7)
| spl18_15
| spl18_16
| ~ spl18_17
| spl18_38 ),
inference(forward_subsumption_resolution,[],[f20313,f933]) ).
fof(f22448,plain,
( $false
| ~ spl18_9
| ~ spl18_10 ),
inference(forward_subsumption_resolution,[],[f22325,f165]) ).
fof(f22449,plain,
( ~ spl18_9
| ~ spl18_10 ),
inference(avatar_contradiction_clause,[],[f22448]) ).
fof(f22453,plain,
( true = false1
| ~ spl18_19
| ~ spl18_37 ),
inference(forward_demodulation,[],[f22337,f428]) ).
fof(f22478,plain,
( not1(false1) = lazy_impl(true,false1)
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_19
| spl18_38 ),
inference(forward_demodulation,[],[f22372,f370]) ).
fof(f22543,plain,
( $false
| ~ spl18_19
| ~ spl18_37 ),
inference(forward_subsumption_resolution,[],[f22453,f165]) ).
fof(f22544,plain,
( ~ spl18_19
| ~ spl18_37 ),
inference(avatar_contradiction_clause,[],[f22543]) ).
fof(f22568,plain,
( false1 = not1(false1)
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_19
| spl18_38 ),
inference(forward_demodulation,[],[f22478,f674]) ).
fof(f22644,plain,
( true = false1
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_19
| spl18_38 ),
inference(forward_demodulation,[],[f22568,f197]) ).
fof(f22695,plain,
( $false
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_19
| spl18_38 ),
inference(forward_subsumption_resolution,[],[f22644,f165]) ).
fof(f22696,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_19
| spl18_38 ),
inference(avatar_contradiction_clause,[],[f22695]) ).
fof(f22833,plain,
( ~ spl18_177
| ~ spl18_22
| ~ spl18_38 ),
inference(avatar_split_clause,[],[f17457,f932,f464,f21852]) ).
fof(f23163,plain,
( spl18_176
| ~ spl18_32
| ~ spl18_38 ),
inference(avatar_split_clause,[],[f18915,f932,f873,f21846]) ).
fof(f23201,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(sF12,sF14)))
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14 ),
inference(forward_demodulation,[],[f20918,f213]) ).
fof(f23222,plain,
( sF14 = sF16
| ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_26 ),
inference(forward_demodulation,[],[f15062,f560]) ).
fof(f23227,plain,
( sF14 = impl(false1,sF13)
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116 ),
inference(forward_demodulation,[],[f19233,f560]) ).
fof(f23255,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),sF15))
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14 ),
inference(forward_demodulation,[],[f23201,f219]) ).
fof(f23275,plain,
( sF13 = sF16
| ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_26
| ~ spl18_116 ),
inference(forward_demodulation,[],[f23222,f15844]) ).
fof(f23279,plain,
( sF13 = impl(false1,sF13)
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116 ),
inference(forward_demodulation,[],[f23227,f15844]) ).
fof(f23475,plain,
( false1 != false1
| ~ bool(sF13)
| ~ spl18_29 ),
inference(superposition,[],[f174,f855]) ).
fof(f23494,plain,
( ~ bool(sF13)
| ~ spl18_29 ),
inference(trivial_inequality_removal,[],[f23475]) ).
fof(f23558,plain,
( sF15 = impl(sF12,sF13)
| ~ spl18_116 ),
inference(superposition,[],[f219,f15844]) ).
fof(f23686,plain,
( false1 != false1
| ~ bool(err)
| ~ spl18_70 ),
inference(superposition,[],[f174,f6137]) ).
fof(f23705,plain,
( ~ bool(err)
| ~ spl18_70 ),
inference(trivial_inequality_removal,[],[f23686]) ).
fof(f23728,plain,
( sF16 = lazy_impl(true,sF14)
| ~ spl18_1
| ~ spl18_26 ),
inference(superposition,[],[f1173,f560]) ).
fof(f23731,plain,
( sF15 = sF16
| ~ spl18_1
| ~ spl18_26
| ~ spl18_34 ),
inference(forward_demodulation,[],[f23728,f891]) ).
fof(f23759,plain,
( true = prop(lazy_impl(true,sF15))
| ~ spl18_8
| ~ spl18_154 ),
inference(superposition,[],[f3262,f18396]) ).
fof(f23760,plain,
( false1 = lazy_impl(true,sF15)
| true = lazy_impl(true,sF15)
| ~ spl18_8
| ~ spl18_154 ),
inference(superposition,[],[f3266,f18396]) ).
fof(f23766,plain,
( false1 = sF16
| true = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_8
| ~ spl18_154 ),
inference(forward_demodulation,[],[f23760,f1173]) ).
fof(f23767,plain,
( true = prop(sF16)
| ~ spl18_1
| ~ spl18_8
| ~ spl18_154 ),
inference(forward_demodulation,[],[f23759,f1173]) ).
fof(f23787,plain,
( true = lazy_impl(true,sF15)
| ~ spl18_1
| ~ spl18_8
| spl18_101
| ~ spl18_154 ),
inference(forward_subsumption_resolution,[],[f23766,f14719]) ).
fof(f23788,plain,
( $false
| ~ spl18_1
| ~ spl18_8
| spl18_104
| ~ spl18_154 ),
inference(forward_subsumption_resolution,[],[f23767,f14736]) ).
fof(f23789,plain,
( ~ spl18_1
| ~ spl18_8
| spl18_104
| ~ spl18_154 ),
inference(avatar_contradiction_clause,[],[f23788]) ).
fof(f23811,plain,
( true = sF16
| ~ spl18_1
| ~ spl18_8
| spl18_101
| ~ spl18_154 ),
inference(forward_demodulation,[],[f23787,f1173]) ).
fof(f23829,plain,
( $false
| ~ spl18_1
| ~ spl18_8
| spl18_101
| spl18_102
| ~ spl18_154 ),
inference(forward_subsumption_resolution,[],[f23811,f14723]) ).
fof(f23830,plain,
( ~ spl18_1
| ~ spl18_8
| spl18_101
| spl18_102
| ~ spl18_154 ),
inference(avatar_contradiction_clause,[],[f23829]) ).
fof(f23855,plain,
( true != prop(sF14)
| ~ spl18_26
| spl18_154 ),
inference(forward_demodulation,[],[f18395,f560]) ).
fof(f23875,plain,
( sK8 = lazy_impl(true,sK8)
| true = sK8
| false1 = sK8
| ~ spl18_124 ),
inference(superposition,[],[f586,f16806]) ).
fof(f23910,plain,
( sK8 = lazy_impl(true,sK8)
| false1 = sK8
| spl18_15
| ~ spl18_124 ),
inference(forward_subsumption_resolution,[],[f23875,f352]) ).
fof(f23931,plain,
( sK8 = lazy_impl(true,sK8)
| spl18_15
| spl18_16
| ~ spl18_124 ),
inference(forward_subsumption_resolution,[],[f23910,f356]) ).
fof(f23951,plain,
( sK8 = sF13
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_124 ),
inference(forward_demodulation,[],[f23931,f361]) ).
fof(f24453,plain,
( false1 != sF13
| spl18_30
| ~ spl18_116 ),
inference(superposition,[],[f858,f15844]) ).
fof(f24561,plain,
( false1 != false1
| ~ bool(sK8)
| ~ spl18_23 ),
inference(superposition,[],[f174,f539]) ).
fof(f24580,plain,
( ~ bool(sK8)
| ~ spl18_23 ),
inference(trivial_inequality_removal,[],[f24561]) ).
fof(f24596,plain,
( ~ bool(sF13)
| ~ spl18_23
| ~ spl18_176 ),
inference(forward_demodulation,[],[f24580,f21847]) ).
fof(f24736,plain,
( sF15 = not1(sF14)
| true = sF14
| false1 = sF14
| ~ spl18_34 ),
inference(superposition,[],[f891,f511]) ).
fof(f24773,plain,
( sF15 = not1(sF14)
| false1 = sF14
| spl18_33
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f24736,f886]) ).
fof(f24780,plain,
( sF15 = not1(sF14)
| spl18_30
| spl18_33
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f24773,f858]) ).
fof(f25037,plain,
( err != sF13
| spl18_115
| ~ spl18_116 ),
inference(superposition,[],[f15839,f15844]) ).
fof(f25039,plain,
( ! [X0] : lazy_impl(true,err) = impl(err,X0)
| ~ spl18_70 ),
inference(resolution,[],[f23705,f175]) ).
fof(f25096,plain,
( ! [X0] : err = impl(err,X0)
| ~ spl18_70 ),
inference(forward_demodulation,[],[f25039,f497]) ).
fof(f25098,plain,
( spl18_91
| ~ spl18_70 ),
inference(avatar_split_clause,[],[f25096,f6135,f13532]) ).
fof(f26125,plain,
( sF16 = lazy_impl(true,sF16)
| true = impl(false1,sF16)
| false1 = prop(false1)
| ~ spl18_137 ),
inference(superposition,[],[f17149,f716]) ).
fof(f26127,plain,
( ! [X0] :
( sF16 = lazy_impl(true,sF16)
| lazy_impl(false1,X0) = lazy_impl(true,false1)
| true = prop(sF16) )
| ~ spl18_137 ),
inference(superposition,[],[f17149,f3106]) ).
fof(f26129,plain,
( ! [X0] :
( sF16 = lazy_impl(true,sF16)
| lazy_impl(false1,X0) = lazy_impl(true,false1)
| true = sF16
| false1 = sF16 )
| ~ spl18_137 ),
inference(superposition,[],[f17149,f3110]) ).
fof(f26200,plain,
( ! [X0] :
( sF16 = lazy_impl(true,sF16)
| lazy_impl(false1,X0) = lazy_impl(true,false1)
| false1 = sF16 )
| spl18_102
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26129,f14723]) ).
fof(f26201,plain,
( ! [X0] :
( sF16 = lazy_impl(true,sF16)
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| spl18_104
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26127,f14736]) ).
fof(f26202,plain,
( sF16 = sF17
| true = impl(false1,sF16)
| false1 = prop(false1)
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26125,f223]) ).
fof(f26232,plain,
( ! [X0] :
( sF16 = lazy_impl(true,sF16)
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26200,f14719]) ).
fof(f26233,plain,
( ! [X0] :
( sF16 = sF17
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| spl18_104
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26201,f223]) ).
fof(f26234,plain,
( true = impl(false1,sF16)
| false1 = prop(false1)
| spl18_21
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26202,f461]) ).
fof(f26265,plain,
( ! [X0] :
( sF16 = sF17
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26232,f223]) ).
fof(f26266,plain,
( ! [X0] : lazy_impl(false1,X0) = lazy_impl(true,false1)
| spl18_21
| spl18_104
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26233,f461]) ).
fof(f26267,plain,
( true = impl(false1,sF13)
| false1 = prop(false1)
| ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_26
| ~ spl18_116
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26234,f23275]) ).
fof(f26298,plain,
( ! [X0] : lazy_impl(false1,X0) = lazy_impl(true,false1)
| spl18_21
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26265,f461]) ).
fof(f26299,plain,
( ! [X0] : false1 = lazy_impl(false1,X0)
| spl18_21
| spl18_104
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26266,f674]) ).
fof(f26300,plain,
( true = sF13
| false1 = prop(false1)
| ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26267,f23279]) ).
fof(f26326,plain,
( ! [X0] : false1 = lazy_impl(false1,X0)
| spl18_21
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26298,f674]) ).
fof(f26327,plain,
( true = false1
| spl18_21
| spl18_104
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26299,f179]) ).
fof(f26328,plain,
( false1 = prop(false1)
| ~ spl18_1
| spl18_12
| spl18_21
| ~ spl18_22
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26300,f339]) ).
fof(f26347,plain,
( true = false1
| spl18_21
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26326,f179]) ).
fof(f26348,plain,
( $false
| spl18_21
| spl18_104
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26327,f165]) ).
fof(f26349,plain,
( spl18_21
| spl18_104
| ~ spl18_137 ),
inference(avatar_contradiction_clause,[],[f26348]) ).
fof(f26350,plain,
( true = false1
| ~ spl18_1
| spl18_12
| spl18_21
| ~ spl18_22
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_137 ),
inference(forward_demodulation,[],[f26328,f428]) ).
fof(f26361,plain,
( $false
| spl18_21
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26347,f165]) ).
fof(f26362,plain,
( spl18_21
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(avatar_contradiction_clause,[],[f26361]) ).
fof(f26363,plain,
( $false
| ~ spl18_1
| spl18_12
| spl18_21
| ~ spl18_22
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_137 ),
inference(forward_subsumption_resolution,[],[f26350,f165]) ).
fof(f26364,plain,
( ~ spl18_1
| spl18_12
| spl18_21
| ~ spl18_22
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_137 ),
inference(avatar_contradiction_clause,[],[f26363]) ).
fof(f26365,plain,
( sF13 != or1(false1,sF13)
| ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_26
| ~ spl18_116
| spl18_137 ),
inference(forward_demodulation,[],[f17148,f23275]) ).
fof(f26366,plain,
( $false
| ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_26
| ~ spl18_116
| ~ spl18_118
| spl18_137 ),
inference(forward_subsumption_resolution,[],[f26365,f15871]) ).
fof(f26367,plain,
( ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_26
| ~ spl18_116
| ~ spl18_118
| spl18_137 ),
inference(avatar_contradiction_clause,[],[f26366]) ).
fof(f26371,plain,
( true = err
| ~ spl18_2
| ~ spl18_22 ),
inference(forward_demodulation,[],[f1017,f466]) ).
fof(f26372,plain,
( false1 = lazy_impl(true,sF10)
| ~ spl18_10
| ~ spl18_42 ),
inference(forward_demodulation,[],[f978,f331]) ).
fof(f26374,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(sK7,sF10),impl(sF13,sF10)))),
inference(forward_demodulation,[],[f1590,f215]) ).
fof(f26403,plain,
( ! [X0] :
( sF13 = lazy_impl(true,sF10)
| lazy_impl(true,sK8) = impl(sK8,X0)
| false1 = sF10 )
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f5604,f850]) ).
fof(f26415,plain,
( sF13 = lazy_impl(true,sF10)
| lazy_impl(true,sK8) = not1(sK8)
| false1 = sF10
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f6814,f850]) ).
fof(f26516,plain,
( $false
| ~ spl18_2
| ~ spl18_22 ),
inference(forward_subsumption_resolution,[],[f26371,f93]) ).
fof(f26517,plain,
( ~ spl18_2
| ~ spl18_22 ),
inference(avatar_contradiction_clause,[],[f26516]) ).
fof(f26519,plain,
! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(sK7,sF10),sF14))),
inference(forward_demodulation,[],[f26374,f217]) ).
fof(f26546,plain,
( ! [X0] :
( sF13 = lazy_impl(true,sF10)
| lazy_impl(true,sK8) = impl(sK8,X0) )
| spl18_27
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f26403,f846]) ).
fof(f26556,plain,
( sF13 = lazy_impl(true,sF10)
| lazy_impl(true,sK8) = not1(sK8)
| spl18_27
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f26415,f846]) ).
fof(f26654,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(sK7,sF10),sF13)))
| ~ spl18_116 ),
inference(forward_demodulation,[],[f26519,f15844]) ).
fof(f26756,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(sF12,sF13)))
| ~ spl18_116 ),
inference(forward_demodulation,[],[f26654,f213]) ).
fof(f27098,plain,
( ! [X0] : impl(sF10,X0) = lazy_impl(true,sF10)
| ~ spl18_2 ),
inference(resolution,[],[f278,f175]) ).
fof(f27103,plain,
( lazy_impl(true,sF10) = not1(sF10)
| ~ spl18_2 ),
inference(resolution,[],[f278,f196]) ).
fof(f27109,plain,
( lazy_impl(true,sF10) = or1(false1,sF10)
| ~ spl18_2 ),
inference(resolution,[],[f278,f425]) ).
fof(f27118,plain,
( impl(false1,sF10) = lazy_impl(true,sF10)
| ~ spl18_2 ),
inference(resolution,[],[f278,f582]) ).
fof(f27144,plain,
( false1 = or1(false1,sF10)
| ~ spl18_2
| ~ spl18_10
| ~ spl18_42 ),
inference(forward_demodulation,[],[f27109,f26372]) ).
fof(f27733,plain,
( sF9 = or1(false1,sK8)
| ~ spl18_19 ),
inference(superposition,[],[f207,f370]) ).
fof(f27738,plain,
( sK8 = sF9
| ~ spl18_19
| ~ spl18_125 ),
inference(forward_demodulation,[],[f27733,f16833]) ).
fof(f27741,plain,
( d(sF13)
| ~ d(sF16)
| spl18_175 ),
inference(resolution,[],[f21797,f100]) ).
fof(f27742,plain,
( ~ d(sF13)
| ~ d(sF16)
| bool(sF13)
| ~ bool(sF16)
| spl18_175 ),
inference(resolution,[],[f21797,f99]) ).
fof(f27745,plain,
( ~ d(sF13)
| bool(sF13)
| ~ bool(sF16)
| ~ spl18_8
| ~ spl18_21
| ~ spl18_104
| spl18_175 ),
inference(forward_subsumption_resolution,[],[f27742,f19059]) ).
fof(f27746,plain,
( d(sF13)
| ~ spl18_8
| ~ spl18_21
| ~ spl18_104
| spl18_175 ),
inference(forward_subsumption_resolution,[],[f27741,f19059]) ).
fof(f27747,plain,
( ~ d(sF13)
| ~ bool(sF16)
| ~ spl18_8
| ~ spl18_21
| ~ spl18_25
| ~ spl18_104
| ~ spl18_116
| spl18_175 ),
inference(forward_subsumption_resolution,[],[f27745,f19195]) ).
fof(f27748,plain,
( ~ bool(sF16)
| ~ spl18_8
| ~ spl18_21
| ~ spl18_25
| ~ spl18_104
| ~ spl18_116
| spl18_175 ),
inference(forward_subsumption_resolution,[],[f27747,f27746]) ).
fof(f27749,plain,
( $false
| ~ spl18_8
| ~ spl18_21
| ~ spl18_25
| ~ spl18_104
| ~ spl18_116
| spl18_175 ),
inference(forward_subsumption_resolution,[],[f27748,f19056]) ).
fof(f27750,plain,
( ~ spl18_8
| ~ spl18_21
| ~ spl18_25
| ~ spl18_104
| ~ spl18_116
| spl18_175 ),
inference(avatar_contradiction_clause,[],[f27749]) ).
fof(f27751,plain,
( forallprefers(sF13,true)
| ~ spl18_102
| ~ spl18_175 ),
inference(forward_demodulation,[],[f21796,f14724]) ).
fof(f27752,plain,
( spl18_173
| ~ spl18_102
| ~ spl18_175 ),
inference(avatar_split_clause,[],[f27751,f21795,f14722,f21609]) ).
fof(f27756,definition,
( spl18_202
<=> bool(lazy_impl(prop(sK6),sK6)) ),
introduced(definition,[new_symbols(definition,[spl18_202])],[avatar_definition]) ).
fof(f27758,plain,
( ~ bool(lazy_impl(prop(sK6),sK6))
| spl18_202 ),
inference(avatar_component_clause,[],[f27756]) ).
fof(f27760,definition,
( spl18_203
<=> d(lazy_impl(prop(sK6),sK6)) ),
introduced(definition,[new_symbols(definition,[spl18_203])],[avatar_definition]) ).
fof(f27762,plain,
( ~ d(lazy_impl(prop(sK6),sK6))
| spl18_203 ),
inference(avatar_component_clause,[],[f27760]) ).
fof(f27764,definition,
( spl18_204
<=> ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl18_204])],[avatar_definition]) ).
fof(f27765,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),X0))
| bool(lazy_impl(prop(X0),X0)) )
| ~ spl18_204 ),
inference(avatar_component_clause,[],[f27764]) ).
fof(f27766,plain,
( ~ spl18_202
| ~ spl18_203
| spl18_204 ),
inference(avatar_split_clause,[],[f500,f27764,f27760,f27756]) ).
fof(f27776,definition,
( spl18_205
<=> ! [X0] : d(lazy_impl(prop(X0),X0)) ),
introduced(definition,[new_symbols(definition,[spl18_205])],[avatar_definition]) ).
fof(f27777,plain,
( ! [X0] : d(lazy_impl(prop(X0),X0))
| ~ spl18_205 ),
inference(avatar_component_clause,[],[f27776]) ).
fof(f27778,plain,
( ~ spl18_203
| spl18_205 ),
inference(avatar_split_clause,[],[f2053,f27776,f27760]) ).
fof(f27814,plain,
( false2 = lazy_impl(true,lazy_impl(false1,sK6))
| spl18_3 ),
inference(forward_subsumption_resolution,[],[f1491,f247]) ).
fof(f27926,plain,
( false2 = lazy_impl(true,true)
| spl18_3 ),
inference(forward_demodulation,[],[f27814,f179]) ).
fof(f27968,plain,
( true = false2
| spl18_3 ),
inference(forward_demodulation,[],[f27926,f407]) ).
fof(f27993,plain,
( $false
| spl18_3
| spl18_47 ),
inference(forward_subsumption_resolution,[],[f27968,f1524]) ).
fof(f27994,plain,
( spl18_3
| spl18_47 ),
inference(avatar_contradiction_clause,[],[f27993]) ).
fof(f28103,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl18_4 ),
inference(superposition,[],[f251,f428]) ).
fof(f28144,plain,
( ~ forallprefers(false1,true)
| ~ spl18_4 ),
inference(forward_demodulation,[],[f28103,f674]) ).
fof(f28151,plain,
( $false
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f28144,f203]) ).
fof(f28152,plain,
~ spl18_4,
inference(avatar_contradiction_clause,[],[f28151]) ).
fof(f28430,plain,
( ~ d(lazy_impl(prop(false1),false1))
| ~ spl18_8
| spl18_203 ),
inference(superposition,[],[f27762,f308]) ).
fof(f28463,plain,
( ~ d(lazy_impl(true,false1))
| ~ spl18_8
| spl18_203 ),
inference(forward_demodulation,[],[f28430,f428]) ).
fof(f28478,plain,
( ~ d(false1)
| ~ spl18_8
| spl18_203 ),
inference(forward_demodulation,[],[f28463,f674]) ).
fof(f28483,plain,
( $false
| ~ spl18_8
| spl18_203 ),
inference(forward_subsumption_resolution,[],[f28478,f167]) ).
fof(f28484,plain,
( ~ spl18_8
| spl18_203 ),
inference(avatar_contradiction_clause,[],[f28483]) ).
fof(f28491,plain,
( ~ bool(lazy_impl(prop(false1),false1))
| ~ spl18_8
| spl18_202 ),
inference(forward_demodulation,[],[f27758,f308]) ).
fof(f28493,plain,
( ~ bool(lazy_impl(true,false1))
| ~ spl18_8
| spl18_202 ),
inference(forward_demodulation,[],[f28491,f428]) ).
fof(f28494,plain,
( ~ bool(false1)
| ~ spl18_8
| spl18_202 ),
inference(forward_demodulation,[],[f28493,f674]) ).
fof(f28495,plain,
( $false
| ~ spl18_8
| spl18_202 ),
inference(forward_subsumption_resolution,[],[f28494,f200]) ).
fof(f28496,plain,
( ~ spl18_8
| spl18_202 ),
inference(avatar_contradiction_clause,[],[f28495]) ).
fof(f28498,plain,
( ! [X0] : bool(lazy_impl(prop(X0),X0))
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_subsumption_resolution,[],[f27765,f27777]) ).
fof(f28854,plain,
( ! [X0] : true = prop(lazy_impl(prop(X0),X0))
| ~ spl18_204
| ~ spl18_205 ),
inference(resolution,[],[f28498,f109]) ).
fof(f28855,plain,
( ! [X0] : lazy_impl(prop(X0),X0) = impl(true,lazy_impl(prop(X0),X0))
| ~ spl18_204
| ~ spl18_205 ),
inference(resolution,[],[f28498,f115]) ).
fof(f28858,plain,
( ! [X0] :
( false1 = lazy_impl(prop(X0),X0)
| true = lazy_impl(prop(X0),X0) )
| ~ spl18_204
| ~ spl18_205 ),
inference(resolution,[],[f28498,f164]) ).
fof(f28859,plain,
( ! [X0,X1] :
( bool(X1)
| lazy_impl(true,X1) = impl(lazy_impl(prop(X0),X0),X1) )
| ~ spl18_204
| ~ spl18_205 ),
inference(resolution,[],[f28498,f176]) ).
fof(f28860,plain,
( ! [X0] : true = impl(false1,lazy_impl(prop(X0),X0))
| ~ spl18_204
| ~ spl18_205 ),
inference(resolution,[],[f28498,f177]) ).
fof(f29123,plain,
( false1 = sF10
| err = lazy_impl(true,sF10)
| ~ spl18_2
| ~ spl18_10
| ~ spl18_42 ),
inference(superposition,[],[f27144,f10891]) ).
fof(f29205,plain,
( err = lazy_impl(true,sF10)
| ~ spl18_2
| ~ spl18_10
| spl18_27
| ~ spl18_42 ),
inference(forward_subsumption_resolution,[],[f29123,f846]) ).
fof(f29225,plain,
( err = false1
| ~ spl18_2
| ~ spl18_10
| spl18_27
| ~ spl18_42 ),
inference(forward_demodulation,[],[f29205,f26372]) ).
fof(f29237,plain,
( $false
| ~ spl18_2
| ~ spl18_10
| spl18_27
| ~ spl18_42 ),
inference(forward_subsumption_resolution,[],[f29225,f166]) ).
fof(f29238,plain,
( ~ spl18_2
| ~ spl18_10
| spl18_27
| ~ spl18_42 ),
inference(avatar_contradiction_clause,[],[f29237]) ).
fof(f29240,plain,
( true = err
| ~ spl18_9
| ~ spl18_44 ),
inference(forward_demodulation,[],[f1100,f327]) ).
fof(f29266,plain,
( sF15 = impl(true,sF13)
| ~ spl18_9
| ~ spl18_116 ),
inference(forward_demodulation,[],[f23558,f327]) ).
fof(f29351,plain,
( $false
| ~ spl18_9
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f29240,f93]) ).
fof(f29352,plain,
( ~ spl18_9
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f29351]) ).
fof(f29374,plain,
( sF13 = sF15
| ~ spl18_9
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f29266,f15855]) ).
fof(f29773,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(sF11,impl(sF12,sF13)))
| ~ spl18_116 ),
inference(forward_demodulation,[],[f26756,f211]) ).
fof(f29802,plain,
( ! [X0] : sF12 = impl(sF10,X0)
| ~ spl18_2
| ~ spl18_42 ),
inference(forward_demodulation,[],[f27098,f978]) ).
fof(f29827,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(false1,impl(sF12,sF13)))
| ~ spl18_2
| ~ spl18_116 ),
inference(forward_demodulation,[],[f29773,f243]) ).
fof(f29868,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),true)
| ~ spl18_2
| ~ spl18_116 ),
inference(forward_demodulation,[],[f29827,f179]) ).
fof(f29946,plain,
( sF12 = not1(sF10)
| ~ spl18_2
| ~ spl18_42 ),
inference(forward_demodulation,[],[f27103,f978]) ).
fof(f29963,plain,
( sF10 = sF12
| err = sF12
| ~ spl18_42 ),
inference(superposition,[],[f172,f978]) ).
fof(f29982,plain,
( sF10 = sF12
| ~ spl18_42
| spl18_44 ),
inference(forward_subsumption_resolution,[],[f29963,f1099]) ).
fof(f29988,plain,
( sF15 = impl(sF10,sF14)
| ~ spl18_42
| spl18_44 ),
inference(superposition,[],[f219,f29982]) ).
fof(f29989,plain,
( sF12 = sF15
| ~ spl18_2
| ~ spl18_42
| spl18_44 ),
inference(forward_demodulation,[],[f29988,f29802]) ).
fof(f29990,plain,
( sF12 = sF14
| ~ spl18_2
| ~ spl18_26
| ~ spl18_42
| spl18_44 ),
inference(forward_demodulation,[],[f29989,f560]) ).
fof(f29991,plain,
( sF12 = sF13
| ~ spl18_2
| ~ spl18_26
| ~ spl18_42
| spl18_44
| ~ spl18_116 ),
inference(forward_demodulation,[],[f29990,f15844]) ).
fof(f29992,plain,
( sF10 = sF13
| ~ spl18_2
| ~ spl18_26
| ~ spl18_42
| spl18_44
| ~ spl18_116 ),
inference(forward_demodulation,[],[f29991,f29982]) ).
fof(f29994,plain,
( err != sF10
| ~ spl18_42
| spl18_44 ),
inference(superposition,[],[f1099,f29982]) ).
fof(f30374,plain,
( false1 != false1
| false1 = sF12
| true = sF12
| spl18_40 ),
inference(superposition,[],[f959,f287]) ).
fof(f30377,plain,
( false1 = sF12
| true = sF12
| spl18_40 ),
inference(trivial_inequality_removal,[],[f30374]) ).
fof(f30379,plain,
( true = sF12
| spl18_10
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f30377,f330]) ).
fof(f30382,plain,
( $false
| spl18_9
| spl18_10
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f30379,f326]) ).
fof(f30383,plain,
( spl18_9
| spl18_10
| spl18_40 ),
inference(avatar_contradiction_clause,[],[f30382]) ).
fof(f32053,plain,
( err = sF10
| ~ spl18_2
| ~ spl18_26
| ~ spl18_42
| spl18_44
| ~ spl18_116
| ~ spl18_177 ),
inference(forward_demodulation,[],[f21854,f29992]) ).
fof(f32129,plain,
( ! [X0] :
( sF12 = sF13
| lazy_impl(true,sK8) = impl(sK8,X0) )
| spl18_27
| spl18_28
| ~ spl18_42 ),
inference(forward_demodulation,[],[f26546,f978]) ).
fof(f32132,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,X0),impl(impl(sK8,X0),X0))),true)
| ~ spl18_2
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f29868,f370]) ).
fof(f32168,plain,
( $false
| ~ spl18_2
| ~ spl18_26
| ~ spl18_42
| spl18_44
| ~ spl18_116
| ~ spl18_177 ),
inference(forward_subsumption_resolution,[],[f32053,f29994]) ).
fof(f32169,plain,
( ~ spl18_2
| ~ spl18_26
| ~ spl18_42
| spl18_44
| ~ spl18_116
| ~ spl18_177 ),
inference(avatar_contradiction_clause,[],[f32168]) ).
fof(f32486,plain,
( sF9 = or1(false1,true)
| ~ spl18_15
| ~ spl18_19 ),
inference(forward_demodulation,[],[f27733,f353]) ).
fof(f32517,plain,
( true = sF9
| ~ spl18_15
| ~ spl18_19 ),
inference(forward_demodulation,[],[f32486,f281]) ).
fof(f32543,plain,
( $false
| ~ spl18_15
| ~ spl18_19
| spl18_24 ),
inference(forward_subsumption_resolution,[],[f32517,f542]) ).
fof(f32544,plain,
( ~ spl18_15
| ~ spl18_19
| spl18_24 ),
inference(avatar_contradiction_clause,[],[f32543]) ).
fof(f32666,plain,
( sF12 = sF13
| ~ spl18_2
| ~ spl18_36
| ~ spl18_42 ),
inference(forward_demodulation,[],[f915,f29946]) ).
fof(f32672,plain,
( true != sF9
| ~ spl18_21
| ~ spl18_102 ),
inference(forward_demodulation,[],[f19158,f14724]) ).
fof(f32724,plain,
( $false
| ~ spl18_21
| ~ spl18_24
| ~ spl18_102 ),
inference(forward_subsumption_resolution,[],[f32672,f543]) ).
fof(f32725,plain,
( ~ spl18_21
| ~ spl18_24
| ~ spl18_102 ),
inference(avatar_contradiction_clause,[],[f32724]) ).
fof(f32794,plain,
( sF12 = sF13
| ~ spl18_42
| ~ spl18_43 ),
inference(forward_demodulation,[],[f1000,f978]) ).
fof(f32905,plain,
( sF13 = impl(false1,sF10)
| ~ spl18_16 ),
inference(superposition,[],[f215,f357]) ).
fof(f32907,plain,
( sF13 = lazy_impl(true,sF10)
| ~ spl18_2
| ~ spl18_16 ),
inference(forward_demodulation,[],[f32905,f27118]) ).
fof(f32910,plain,
( sF12 = sF13
| ~ spl18_2
| ~ spl18_16
| ~ spl18_42 ),
inference(forward_demodulation,[],[f32907,f978]) ).
fof(f33040,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,sK6),impl(impl(sK8,sK6),sK6))),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_19
| ~ spl18_116 ),
inference(superposition,[],[f32132,f248]) ).
fof(f33211,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),impl(impl(sK8,false1),false1))),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33040,f308]) ).
fof(f33262,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),impl(impl(false1,false1),false1))),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33211,f357]) ).
fof(f33298,plain,
( ~ forallprefers(lazy_impl(true,impl(true,impl(true,false1))),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33262,f723]) ).
fof(f33310,plain,
( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33298,f429]) ).
fof(f33319,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33310,f429]) ).
fof(f33328,plain,
( ~ forallprefers(false1,true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33319,f674]) ).
fof(f33336,plain,
( $false
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f33328,f203]) ).
fof(f33337,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f33336]) ).
fof(f33347,plain,
( spl18_176
| spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_124 ),
inference(avatar_split_clause,[],[f23951,f16804,f359,f355,f351,f21846]) ).
fof(f33351,plain,
( sF13 != sF15
| spl18_26
| ~ spl18_116 ),
inference(forward_demodulation,[],[f559,f15844]) ).
fof(f33352,plain,
( sF15 != lazy_impl(true,sF13)
| spl18_34
| ~ spl18_116 ),
inference(forward_demodulation,[],[f890,f15844]) ).
fof(f33373,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),lazy_impl(sF11,sF15))
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14 ),
inference(forward_demodulation,[],[f23255,f211]) ).
fof(f33394,plain,
( sF10 = sF15
| ~ spl18_2
| ~ spl18_42
| spl18_44 ),
inference(forward_demodulation,[],[f29989,f29982]) ).
fof(f33435,plain,
( ~ spl18_177
| spl18_115
| ~ spl18_116 ),
inference(avatar_split_clause,[],[f25037,f15842,f15838,f21852]) ).
fof(f33457,plain,
( ! [X0] :
( sF10 = sF13
| lazy_impl(true,sK8) = impl(sK8,X0) )
| spl18_27
| spl18_28
| ~ spl18_42
| spl18_44 ),
inference(forward_demodulation,[],[f32129,f29982]) ).
fof(f33462,plain,
( sF10 = sF13
| ~ spl18_2
| ~ spl18_36
| ~ spl18_42
| spl18_44 ),
inference(forward_demodulation,[],[f32666,f29982]) ).
fof(f33469,plain,
( sF10 = sF13
| ~ spl18_42
| ~ spl18_43
| spl18_44 ),
inference(forward_demodulation,[],[f32794,f29982]) ).
fof(f33546,plain,
( false1 != prop(sF13)
| spl18_23
| ~ spl18_176 ),
inference(forward_demodulation,[],[f538,f21847]) ).
fof(f33615,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),impl(impl(sF13,false1),false1))),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_19
| ~ spl18_116
| ~ spl18_176 ),
inference(forward_demodulation,[],[f33211,f21847]) ).
fof(f33618,plain,
( sF14 != sF15
| ~ spl18_14
| spl18_34
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33352,f348]) ).
fof(f33636,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),sF16)
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14 ),
inference(forward_demodulation,[],[f33373,f221]) ).
fof(f33778,plain,
( $false
| spl18_23
| ~ spl18_29
| ~ spl18_176 ),
inference(forward_subsumption_resolution,[],[f33546,f855]) ).
fof(f33779,plain,
( spl18_23
| ~ spl18_29
| ~ spl18_176 ),
inference(avatar_contradiction_clause,[],[f33778]) ).
fof(f33844,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),impl(sF13,false1))),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_19
| ~ spl18_116
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f33615,f18670]) ).
fof(f33847,plain,
( sF10 != sF14
| ~ spl18_2
| ~ spl18_14
| spl18_34
| ~ spl18_42
| spl18_44
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33618,f33394]) ).
fof(f33998,plain,
( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),sF13)),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_19
| ~ spl18_116
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f33844,f18670]) ).
fof(f34001,plain,
( sF10 != sF13
| ~ spl18_2
| ~ spl18_14
| spl18_34
| ~ spl18_42
| spl18_44
| ~ spl18_116 ),
inference(forward_demodulation,[],[f33847,f15844]) ).
fof(f34430,plain,
( sF12 != sF13
| ~ spl18_2
| spl18_36
| ~ spl18_42 ),
inference(forward_demodulation,[],[f914,f29946]) ).
fof(f34518,plain,
( sF10 != sF12
| ~ spl18_2
| spl18_36
| ~ spl18_42
| ~ spl18_43
| spl18_44 ),
inference(forward_demodulation,[],[f34430,f33469]) ).
fof(f34588,plain,
( $false
| ~ spl18_2
| spl18_36
| ~ spl18_42
| ~ spl18_43
| spl18_44 ),
inference(forward_subsumption_resolution,[],[f34518,f29982]) ).
fof(f34589,plain,
( ~ spl18_2
| spl18_36
| ~ spl18_42
| ~ spl18_43
| spl18_44 ),
inference(avatar_contradiction_clause,[],[f34588]) ).
fof(f34817,plain,
( ~ forallprefers(lazy_impl(true,impl(true,sF13)),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_19
| ~ spl18_116
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f33998,f723]) ).
fof(f34888,plain,
( ~ forallprefers(lazy_impl(true,sF13),true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_19
| ~ spl18_116
| ~ spl18_117
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f34817,f15855]) ).
fof(f34935,plain,
( ~ forallprefers(sF14,true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_14
| ~ spl18_19
| ~ spl18_116
| ~ spl18_117
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f34888,f348]) ).
fof(f34971,plain,
( ~ forallprefers(sF13,true)
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_14
| ~ spl18_19
| ~ spl18_116
| ~ spl18_117
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f34935,f15844]) ).
fof(f34999,plain,
( $false
| ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_14
| ~ spl18_19
| ~ spl18_116
| ~ spl18_117
| ~ spl18_157
| ~ spl18_173
| ~ spl18_176 ),
inference(forward_subsumption_resolution,[],[f34971,f21610]) ).
fof(f35000,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_14
| ~ spl18_19
| ~ spl18_116
| ~ spl18_117
| ~ spl18_157
| ~ spl18_173
| ~ spl18_176 ),
inference(avatar_contradiction_clause,[],[f34999]) ).
fof(f35075,definition,
( spl18_244
<=> ! [X1] : lazy_impl(true,sK8) = impl(sK8,X1) ),
introduced(definition,[new_symbols(definition,[spl18_244])],[avatar_definition]) ).
fof(f35076,plain,
( ! [X1] : lazy_impl(true,sK8) = impl(sK8,X1)
| ~ spl18_244 ),
inference(avatar_component_clause,[],[f35075]) ).
fof(f35107,plain,
( ! [X0] : lazy_impl(true,sK8) = impl(sK8,X0)
| ~ spl18_2
| ~ spl18_14
| spl18_27
| spl18_28
| spl18_34
| ~ spl18_42
| spl18_44
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f33457,f34001]) ).
fof(f35110,plain,
( err = lazy_impl(true,sK8)
| ~ spl18_17
| ~ spl18_177 ),
inference(forward_demodulation,[],[f361,f21854]) ).
fof(f35229,plain,
( spl18_244
| ~ spl18_2
| ~ spl18_14
| spl18_27
| spl18_28
| spl18_34
| ~ spl18_42
| spl18_44
| ~ spl18_116 ),
inference(avatar_split_clause,[],[f35107,f15842,f1098,f976,f889,f849,f845,f346,f241,f35075]) ).
fof(f35345,plain,
( ! [X1] : err = impl(sK8,X1)
| ~ spl18_17
| ~ spl18_177
| ~ spl18_244 ),
inference(forward_demodulation,[],[f35076,f35110]) ).
fof(f35353,plain,
( false1 = prop(err)
| ~ spl18_29
| ~ spl18_177 ),
inference(superposition,[],[f855,f21854]) ).
fof(f35361,plain,
( forallprefers(err,true)
| ~ spl18_173
| ~ spl18_177 ),
inference(superposition,[],[f21610,f21854]) ).
fof(f35564,plain,
( ! [X0] : lazy_impl(true,sK8) = impl(sK8,X0)
| ~ spl18_23 ),
inference(resolution,[],[f24580,f175]) ).
fof(f35573,plain,
( lazy_impl(true,sK8) = or1(true,sK8)
| ~ spl18_23 ),
inference(resolution,[],[f24580,f398]) ).
fof(f35612,plain,
( err = or1(true,sK8)
| ~ spl18_17
| ~ spl18_23
| ~ spl18_177 ),
inference(forward_demodulation,[],[f35573,f35110]) ).
fof(f36170,plain,
( sK8 != sK8
| err = lazy_impl(true,sK8)
| spl18_124 ),
inference(superposition,[],[f16805,f4873]) ).
fof(f36180,plain,
( err = lazy_impl(true,sK8)
| spl18_124 ),
inference(trivial_inequality_removal,[],[f36170]) ).
fof(f36733,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,impl(impl(sK8,lazy_impl(prop(X0),X0)),lazy_impl(prop(X0),X0)))),true)
| ~ spl18_2
| ~ spl18_19
| ~ spl18_116
| ~ spl18_204
| ~ spl18_205 ),
inference(superposition,[],[f32132,f28860]) ).
fof(f36769,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,impl(err,lazy_impl(prop(X0),X0)))),true)
| ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_116
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(forward_demodulation,[],[f36733,f35345]) ).
fof(f36787,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),impl(true,err)),true)
| ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(forward_demodulation,[],[f36769,f13533]) ).
fof(f36793,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(lazy_impl(prop(X0),X0)),err),true)
| ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(forward_demodulation,[],[f36787,f4869]) ).
fof(f36797,plain,
( ~ forallprefers(lazy_impl(true,err),true)
| ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(forward_demodulation,[],[f36793,f28854]) ).
fof(f36801,plain,
( ~ forallprefers(err,true)
| ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(forward_demodulation,[],[f36797,f497]) ).
fof(f36804,plain,
( $false
| ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_173
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(forward_subsumption_resolution,[],[f36801,f35361]) ).
fof(f36805,plain,
( ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_173
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(avatar_contradiction_clause,[],[f36804]) ).
fof(f36812,plain,
( false1 != prop(sF13)
| spl18_25
| ~ spl18_116 ),
inference(forward_demodulation,[],[f555,f15844]) ).
fof(f36829,plain,
( $false
| ~ spl18_29
| spl18_70
| ~ spl18_177 ),
inference(forward_subsumption_resolution,[],[f35353,f6136]) ).
fof(f36830,plain,
( ~ spl18_29
| spl18_70
| ~ spl18_177 ),
inference(avatar_contradiction_clause,[],[f36829]) ).
fof(f36831,plain,
( ~ bool(err)
| ~ spl18_29
| ~ spl18_177 ),
inference(forward_demodulation,[],[f23494,f21854]) ).
fof(f36839,plain,
( $false
| spl18_25
| ~ spl18_29
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f36812,f855]) ).
fof(f36840,plain,
( spl18_25
| ~ spl18_29
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f36839]) ).
fof(f37146,plain,
( ! [X0] : lazy_impl(true,sF13) = impl(sF13,X0)
| ~ spl18_23
| ~ spl18_176 ),
inference(forward_demodulation,[],[f35564,f21847]) ).
fof(f37221,plain,
( ! [X0] : sF14 = impl(sF13,X0)
| ~ spl18_14
| ~ spl18_23
| ~ spl18_176 ),
inference(forward_demodulation,[],[f37146,f348]) ).
fof(f37289,plain,
( ! [X0] : sF13 = impl(sF13,X0)
| ~ spl18_14
| ~ spl18_23
| ~ spl18_116
| ~ spl18_176 ),
inference(forward_demodulation,[],[f37221,f15844]) ).
fof(f37330,plain,
( spl18_157
| ~ spl18_14
| ~ spl18_23
| ~ spl18_116
| ~ spl18_176 ),
inference(avatar_split_clause,[],[f37289,f21846,f15842,f537,f346,f18669]) ).
fof(f37402,plain,
( sF15 = not1(sF13)
| spl18_30
| spl18_33
| ~ spl18_34
| ~ spl18_116 ),
inference(forward_demodulation,[],[f24780,f15844]) ).
fof(f37426,plain,
( sF13 = sF15
| spl18_15
| spl18_16
| ~ spl18_17
| spl18_30
| ~ spl18_32
| spl18_33
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116 ),
inference(forward_demodulation,[],[f37402,f19005]) ).
fof(f37442,plain,
( $false
| spl18_15
| spl18_16
| ~ spl18_17
| spl18_26
| spl18_30
| ~ spl18_32
| spl18_33
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f37426,f33351]) ).
fof(f37443,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| spl18_26
| spl18_30
| ~ spl18_32
| spl18_33
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f37442]) ).
fof(f37680,plain,
( sF14 = impl(sF10,sF10)
| ~ spl18_2
| ~ spl18_36
| ~ spl18_42
| spl18_44 ),
inference(superposition,[],[f217,f33462]) ).
fof(f37695,plain,
( sF12 = sF14
| ~ spl18_2
| ~ spl18_36
| ~ spl18_42
| spl18_44 ),
inference(forward_demodulation,[],[f37680,f29802]) ).
fof(f37721,plain,
( sK8 != sK8
| sK8 = or1(false1,sK8)
| spl18_15
| spl18_16
| ~ spl18_124 ),
inference(superposition,[],[f10839,f23931]) ).
fof(f37734,plain,
( sK8 = or1(false1,sK8)
| spl18_15
| spl18_16
| ~ spl18_124 ),
inference(trivial_inequality_removal,[],[f37721]) ).
fof(f37747,plain,
( false1 != false1
| false1 = sF13
| true = sF13
| spl18_29 ),
inference(superposition,[],[f854,f287]) ).
fof(f37750,plain,
( false1 = sF13
| true = sF13
| spl18_29 ),
inference(trivial_inequality_removal,[],[f37747]) ).
fof(f37752,plain,
( true = sF13
| spl18_13
| spl18_29 ),
inference(forward_subsumption_resolution,[],[f37750,f343]) ).
fof(f37755,plain,
( $false
| spl18_12
| spl18_13
| spl18_29 ),
inference(forward_subsumption_resolution,[],[f37752,f339]) ).
fof(f37756,plain,
( spl18_12
| spl18_13
| spl18_29 ),
inference(avatar_contradiction_clause,[],[f37755]) ).
fof(f37770,plain,
( spl18_40
| ~ spl18_37
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f16381,f1102,f928,f958]) ).
fof(f37828,plain,
( sF13 = not1(sF10)
| lazy_impl(true,sK8) = not1(sK8)
| ~ spl18_2
| spl18_27
| spl18_28 ),
inference(forward_demodulation,[],[f26556,f27103]) ).
fof(f37874,plain,
( false1 = not1(sF10)
| ~ spl18_13
| ~ spl18_36 ),
inference(forward_demodulation,[],[f915,f344]) ).
fof(f38024,plain,
( $false
| ~ spl18_13
| spl18_30
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f24453,f344]) ).
fof(f38025,plain,
( ~ spl18_13
| spl18_30
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f38024]) ).
fof(f38967,plain,
( sF12 = not1(sK7)
| true = sK7
| false1 = sK7
| ~ spl18_20 ),
inference(superposition,[],[f511,f374]) ).
fof(f38986,plain,
( sF12 = not1(sK7)
| false1 = sK7
| spl18_18
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f38967,f365]) ).
fof(f38991,plain,
( sF12 = not1(sK7)
| spl18_18
| spl18_19
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f38986,f369]) ).
fof(f38993,plain,
( sF12 = not1(sF12)
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_45 ),
inference(forward_demodulation,[],[f38991,f1104]) ).
fof(f39007,plain,
( false1 != false1
| ~ bool(sK7)
| ~ spl18_37 ),
inference(superposition,[],[f174,f930]) ).
fof(f39027,plain,
( ~ bool(sK7)
| ~ spl18_37 ),
inference(trivial_inequality_removal,[],[f39007]) ).
fof(f40175,plain,
( false1 != lazy_impl(true,sK8)
| ~ spl18_13
| spl18_17 ),
inference(forward_demodulation,[],[f360,f344]) ).
fof(f40249,plain,
( false1 != lazy_impl(true,false1)
| ~ spl18_13
| ~ spl18_16
| spl18_17 ),
inference(forward_demodulation,[],[f40175,f357]) ).
fof(f40287,plain,
( $false
| ~ spl18_13
| ~ spl18_16
| spl18_17 ),
inference(forward_subsumption_resolution,[],[f40249,f674]) ).
fof(f40288,plain,
( ~ spl18_13
| ~ spl18_16
| spl18_17 ),
inference(avatar_contradiction_clause,[],[f40287]) ).
fof(f40811,plain,
( sF10 = not1(sF10)
| err = lazy_impl(true,sF10)
| ~ spl18_2 ),
inference(superposition,[],[f27103,f172]) ).
fof(f40846,plain,
( false1 = sF10
| err = lazy_impl(true,sF10)
| ~ spl18_2
| ~ spl18_13
| ~ spl18_36 ),
inference(forward_demodulation,[],[f40811,f37874]) ).
fof(f40849,plain,
( err = lazy_impl(true,sF10)
| ~ spl18_2
| ~ spl18_13
| spl18_27
| ~ spl18_36 ),
inference(forward_subsumption_resolution,[],[f40846,f846]) ).
fof(f40852,plain,
( err = not1(sF10)
| ~ spl18_2
| ~ spl18_13
| spl18_27
| ~ spl18_36 ),
inference(forward_demodulation,[],[f40849,f27103]) ).
fof(f40857,plain,
( err = false1
| ~ spl18_2
| ~ spl18_13
| spl18_27
| ~ spl18_36 ),
inference(forward_demodulation,[],[f40852,f37874]) ).
fof(f40858,plain,
( $false
| ~ spl18_2
| ~ spl18_13
| spl18_27
| ~ spl18_36 ),
inference(forward_subsumption_resolution,[],[f40857,f166]) ).
fof(f40859,plain,
( ~ spl18_2
| ~ spl18_13
| spl18_27
| ~ spl18_36 ),
inference(avatar_contradiction_clause,[],[f40858]) ).
fof(f40968,plain,
( true = not1(sF10)
| lazy_impl(true,sK8) = not1(sK8)
| ~ spl18_2
| ~ spl18_12
| spl18_27
| spl18_28 ),
inference(forward_demodulation,[],[f37828,f340]) ).
fof(f41008,definition,
( spl18_264
<=> err = not1(sF10) ),
introduced(definition,[new_symbols(definition,[spl18_264])],[avatar_definition]) ).
fof(f41009,plain,
( err != not1(sF10)
| spl18_264 ),
inference(avatar_component_clause,[],[f41008]) ).
fof(f41010,plain,
( err = not1(sF10)
| ~ spl18_264 ),
inference(avatar_component_clause,[],[f41008]) ).
fof(f41045,definition,
( spl18_265
<=> sF10 = not1(sF10) ),
introduced(definition,[new_symbols(definition,[spl18_265])],[avatar_definition]) ).
fof(f41047,plain,
( sF10 = not1(sF10)
| ~ spl18_265 ),
inference(avatar_component_clause,[],[f41045]) ).
fof(f41050,plain,
( err = not1(sF10)
| sF10 = not1(sF10)
| ~ spl18_2 ),
inference(forward_demodulation,[],[f40811,f27103]) ).
fof(f41139,plain,
( lazy_impl(true,sK8) = not1(sK8)
| ~ spl18_2
| ~ spl18_12
| spl18_27
| spl18_28
| spl18_39 ),
inference(forward_subsumption_resolution,[],[f40968,f939]) ).
fof(f41192,plain,
( spl18_265
| spl18_264
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f41050,f241,f41008,f41045]) ).
fof(f41273,plain,
( not1(false1) = lazy_impl(true,false1)
| ~ spl18_2
| ~ spl18_12
| ~ spl18_16
| spl18_27
| spl18_28
| spl18_39 ),
inference(forward_demodulation,[],[f41139,f357]) ).
fof(f41382,plain,
( false1 = not1(false1)
| ~ spl18_2
| ~ spl18_12
| ~ spl18_16
| spl18_27
| spl18_28
| spl18_39 ),
inference(forward_demodulation,[],[f41273,f674]) ).
fof(f41477,plain,
( true = false1
| ~ spl18_2
| ~ spl18_12
| ~ spl18_16
| spl18_27
| spl18_28
| spl18_39 ),
inference(forward_demodulation,[],[f41382,f197]) ).
fof(f41537,plain,
( $false
| ~ spl18_2
| ~ spl18_12
| ~ spl18_16
| spl18_27
| spl18_28
| spl18_39 ),
inference(forward_subsumption_resolution,[],[f41477,f165]) ).
fof(f41538,plain,
( ~ spl18_2
| ~ spl18_12
| ~ spl18_16
| spl18_27
| spl18_28
| spl18_39 ),
inference(avatar_contradiction_clause,[],[f41537]) ).
fof(f41603,plain,
( true = err
| ~ spl18_39
| ~ spl18_264 ),
inference(forward_demodulation,[],[f41010,f940]) ).
fof(f41613,plain,
( $false
| ~ spl18_39
| ~ spl18_264 ),
inference(forward_subsumption_resolution,[],[f41603,f93]) ).
fof(f41614,plain,
( ~ spl18_39
| ~ spl18_264 ),
inference(avatar_contradiction_clause,[],[f41613]) ).
fof(f41660,plain,
( true = sF10
| ~ spl18_39
| ~ spl18_265 ),
inference(forward_demodulation,[],[f41047,f940]) ).
fof(f41661,plain,
( $false
| spl18_28
| ~ spl18_39
| ~ spl18_265 ),
inference(forward_subsumption_resolution,[],[f41660,f850]) ).
fof(f41662,plain,
( spl18_28
| ~ spl18_39
| ~ spl18_265 ),
inference(avatar_contradiction_clause,[],[f41661]) ).
fof(f41666,plain,
( err = sF15
| ~ spl18_1
| ~ spl18_21
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f23731,f21766]) ).
fof(f41694,plain,
( spl18_125
| spl18_15
| spl18_16
| ~ spl18_124 ),
inference(avatar_split_clause,[],[f37734,f16804,f355,f351,f16831]) ).
fof(f41701,plain,
( spl18_32
| ~ spl18_19
| ~ spl18_125 ),
inference(avatar_split_clause,[],[f27738,f16831,f368,f873]) ).
fof(f42140,plain,
( err = sF13
| ~ spl18_1
| ~ spl18_9
| ~ spl18_21
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117 ),
inference(forward_demodulation,[],[f41666,f29374]) ).
fof(f42472,plain,
( $false
| ~ spl18_1
| ~ spl18_9
| ~ spl18_21
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| spl18_177 ),
inference(forward_subsumption_resolution,[],[f42140,f21853]) ).
fof(f42473,plain,
( ~ spl18_1
| ~ spl18_9
| ~ spl18_21
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| spl18_177 ),
inference(avatar_contradiction_clause,[],[f42472]) ).
fof(f43166,plain,
( spl18_102
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f472,f241,f14722]) ).
fof(f43307,plain,
( sF12 = sF13
| ~ spl18_42
| ~ spl18_43 ),
inference(forward_demodulation,[],[f1000,f978]) ).
fof(f43474,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sK8,X0),X0))),true)
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14
| ~ spl18_102 ),
inference(forward_demodulation,[],[f33636,f14724]) ).
fof(f43781,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(impl(sF13,X0),X0))),true)
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14
| ~ spl18_102
| ~ spl18_176 ),
inference(forward_demodulation,[],[f43474,f21847]) ).
fof(f44019,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),impl(sF13,X0))),true)
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f43781,f18670]) ).
fof(f44145,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK7,X0),sF13)),true)
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f44019,f18670]) ).
fof(f44285,plain,
( err != sF12
| ~ spl18_2
| ~ spl18_42
| spl18_264 ),
inference(forward_demodulation,[],[f41009,f29946]) ).
fof(f44517,plain,
( ! [X0] : lazy_impl(true,sF12) = impl(sF12,X0)
| ~ spl18_40 ),
inference(resolution,[],[f1087,f175]) ).
fof(f44522,plain,
( lazy_impl(true,sF12) = not1(sF12)
| ~ spl18_40 ),
inference(resolution,[],[f1087,f196]) ).
fof(f44660,plain,
( ! [X0] : lazy_impl(true,sK8) = impl(sK8,X0)
| ~ spl18_23 ),
inference(resolution,[],[f24580,f175]) ).
fof(f45304,plain,
( lazy_impl(true,sF10) = not1(sF10)
| ~ spl18_2 ),
inference(resolution,[],[f278,f196]) ).
fof(f45319,plain,
( impl(false1,sF10) = lazy_impl(true,sF10)
| ~ spl18_2 ),
inference(resolution,[],[f278,f582]) ).
fof(f51676,plain,
( ! [X0] : lazy_impl(true,sF13) = impl(lazy_impl(prop(X0),X0),sF13)
| ~ spl18_23
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(resolution,[],[f28859,f24596]) ).
fof(f52387,definition,
( spl18_276
<=> forallprefers(err,true) ),
introduced(definition,[new_symbols(definition,[spl18_276])],[avatar_definition]) ).
fof(f52388,plain,
( forallprefers(err,true)
| ~ spl18_276 ),
inference(avatar_component_clause,[],[f52387]) ).
fof(f52389,plain,
( ~ forallprefers(err,true)
| spl18_276 ),
inference(avatar_component_clause,[],[f52387]) ).
fof(f52745,definition,
( spl18_309
<=> bool(err) ),
introduced(definition,[new_symbols(definition,[spl18_309])],[avatar_definition]) ).
fof(f52746,plain,
( ~ bool(err)
| spl18_309 ),
inference(avatar_component_clause,[],[f52745]) ).
fof(f52747,plain,
( bool(err)
| ~ spl18_309 ),
inference(avatar_component_clause,[],[f52745]) ).
fof(f52947,plain,
( ~ d(err)
| ~ d(true)
| bool(err)
| ~ bool(true)
| spl18_276 ),
inference(resolution,[],[f52389,f99]) ).
fof(f52948,plain,
( ~ d(true)
| bool(err)
| ~ bool(true)
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f52947,f95]) ).
fof(f52949,plain,
( bool(err)
| ~ bool(true)
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f52948,f97]) ).
fof(f52950,plain,
( bool(err)
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f52949,f201]) ).
fof(f52951,plain,
( spl18_309
| spl18_276 ),
inference(avatar_split_clause,[],[f52950,f52387,f52745]) ).
fof(f53890,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),sF13)),true)
| false1 = impl(sK8,sF10)
| true = impl(sK8,sF10) )
| ~ spl18_14
| ~ spl18_18
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f44145,f366]) ).
fof(f54032,plain,
( ! [X0] : sF14 = impl(lazy_impl(prop(X0),X0),sF13)
| ~ spl18_14
| ~ spl18_23
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_demodulation,[],[f51676,f348]) ).
fof(f54236,plain,
( ! [X0] :
( false1 = sF13
| ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),sF13)),true)
| true = impl(sK8,sF10) )
| ~ spl18_14
| ~ spl18_18
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f53890,f215]) ).
fof(f54376,plain,
( ! [X0] : sF13 = impl(lazy_impl(prop(X0),X0),sF13)
| ~ spl18_14
| ~ spl18_23
| ~ spl18_116
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_demodulation,[],[f54032,f15844]) ).
fof(f54615,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),sF13)),true)
| true = impl(sK8,sF10) )
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_subsumption_resolution,[],[f54236,f343]) ).
fof(f54737,plain,
( ! [X0] :
( true = sF13
| ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),sF13)),true) )
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_demodulation,[],[f54615,f215]) ).
fof(f54840,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),sF13)),true)
| spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176 ),
inference(forward_subsumption_resolution,[],[f54737,f339]) ).
fof(f55630,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(impl(true,lazy_impl(prop(X0),X0)),sF13)),true)
| spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(superposition,[],[f54840,f28854]) ).
fof(f55742,plain,
( ! [X0] : ~ forallprefers(lazy_impl(true,impl(lazy_impl(prop(X0),X0),sF13)),true)
| spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_102
| ~ spl18_157
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_demodulation,[],[f55630,f28855]) ).
fof(f55765,plain,
( ~ forallprefers(lazy_impl(true,sF13),true)
| spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_23
| ~ spl18_102
| ~ spl18_116
| ~ spl18_157
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_demodulation,[],[f55742,f54376]) ).
fof(f55784,plain,
( ~ forallprefers(sF14,true)
| spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_23
| ~ spl18_102
| ~ spl18_116
| ~ spl18_157
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_demodulation,[],[f55765,f348]) ).
fof(f55802,plain,
( ~ forallprefers(sF13,true)
| spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_23
| ~ spl18_102
| ~ spl18_116
| ~ spl18_157
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_demodulation,[],[f55784,f15844]) ).
fof(f55817,plain,
( $false
| spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_23
| ~ spl18_102
| ~ spl18_116
| ~ spl18_157
| ~ spl18_173
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_subsumption_resolution,[],[f55802,f21610]) ).
fof(f55818,plain,
( spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_23
| ~ spl18_102
| ~ spl18_116
| ~ spl18_157
| ~ spl18_173
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(avatar_contradiction_clause,[],[f55817]) ).
fof(f55860,plain,
( ~ spl18_309
| ~ spl18_29
| ~ spl18_177 ),
inference(avatar_split_clause,[],[f36831,f21852,f853,f52745]) ).
fof(f59848,plain,
( ! [X0] :
( true = prop(prop(X0))
| err = lazy_impl(prop(X0),X0)
| true = prop(prop(X0)) )
| ~ spl18_204
| ~ spl18_205 ),
inference(superposition,[],[f28854,f809]) ).
fof(f59971,plain,
( ! [X0] :
( err = lazy_impl(prop(X0),X0)
| true = prop(prop(X0)) )
| ~ spl18_204
| ~ spl18_205 ),
inference(duplicate_literal_removal,[],[f59848]) ).
fof(f60238,plain,
( ! [X0] :
( err = false1
| true = err
| true = prop(prop(X0)) )
| ~ spl18_204
| ~ spl18_205 ),
inference(superposition,[],[f28858,f59971]) ).
fof(f60321,plain,
( ! [X0] :
( true = err
| true = prop(prop(X0)) )
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_subsumption_resolution,[],[f60238,f166]) ).
fof(f60326,definition,
( spl18_381
<=> ! [X0] : true = prop(prop(X0)) ),
introduced(definition,[new_symbols(definition,[spl18_381])],[avatar_definition]) ).
fof(f60327,plain,
( ! [X0] : true = prop(prop(X0))
| ~ spl18_381 ),
inference(avatar_component_clause,[],[f60326]) ).
fof(f60350,plain,
( ! [X0] : true = prop(prop(X0))
| ~ spl18_204
| ~ spl18_205 ),
inference(forward_subsumption_resolution,[],[f60321,f93]) ).
fof(f60366,plain,
( spl18_381
| ~ spl18_204
| ~ spl18_205 ),
inference(avatar_split_clause,[],[f60350,f27776,f27764,f60326]) ).
fof(f60389,plain,
( ! [X0] :
( true != true
| bool(prop(X0)) )
| ~ spl18_381 ),
inference(superposition,[],[f108,f60327]) ).
fof(f60428,plain,
( ! [X0] : bool(prop(X0))
| ~ spl18_381 ),
inference(trivial_inequality_removal,[],[f60389]) ).
fof(f60441,plain,
( ! [X0,X1] :
( bool(X1)
| lazy_impl(true,X1) = impl(prop(X0),X1) )
| ~ spl18_381 ),
inference(resolution,[],[f60428,f176]) ).
fof(f60734,plain,
( ! [X0] : lazy_impl(true,err) = impl(prop(X0),err)
| spl18_309
| ~ spl18_381 ),
inference(resolution,[],[f60441,f52746]) ).
fof(f60741,plain,
( ! [X0] : err = impl(prop(X0),err)
| spl18_309
| ~ spl18_381 ),
inference(forward_demodulation,[],[f60734,f497]) ).
fof(f61216,plain,
( err = impl(false1,err)
| ~ spl18_70
| spl18_309
| ~ spl18_381 ),
inference(superposition,[],[f60741,f6137]) ).
fof(f76938,definition,
( spl18_396
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true) ),
introduced(definition,[new_symbols(definition,[spl18_396])],[avatar_definition]) ).
fof(f76939,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
| ~ spl18_396 ),
inference(avatar_component_clause,[],[f76938]) ).
fof(f78623,plain,
( ~ forallprefers(lazy_impl(true,err),true)
| ~ spl18_396 ),
inference(superposition,[],[f76939,f428]) ).
fof(f78676,plain,
( ~ forallprefers(err,true)
| ~ spl18_396 ),
inference(forward_demodulation,[],[f78623,f497]) ).
fof(f78691,plain,
( $false
| ~ spl18_276
| ~ spl18_396 ),
inference(forward_subsumption_resolution,[],[f78676,f52388]) ).
fof(f78692,plain,
( ~ spl18_276
| ~ spl18_396 ),
inference(avatar_contradiction_clause,[],[f78691]) ).
fof(f97784,plain,
! [X0,X1] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(sK1(false1,X1)),impl(true,sK1(false1,X1)))),
inference(superposition,[],[f187,f179]) ).
fof(f97868,plain,
! [X0,X1] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(prop(sK1(false1,X1)),impl(true,sK1(false1,X1)))),
inference(forward_demodulation,[],[f97784,f179]) ).
fof(f100176,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(false1,impl(true,sK1(false1,X1))))
| false1 = sK1(false1,X1)
| true = sK1(false1,X1) ),
inference(superposition,[],[f97868,f287]) ).
fof(f100274,plain,
! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| false1 = sK1(false1,X1)
| true = sK1(false1,X1) ),
inference(forward_demodulation,[],[f100176,f179]) ).
fof(f100325,definition,
( spl18_487
<=> ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl18_487])],[avatar_definition]) ).
fof(f100326,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0))) )
| ~ spl18_487 ),
inference(avatar_component_clause,[],[f100325]) ).
fof(f100332,definition,
( spl18_489
<=> ! [X0] : d(lazy_impl(prop(X0),impl(true,X0))) ),
introduced(definition,[new_symbols(definition,[spl18_489])],[avatar_definition]) ).
fof(f100333,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl18_489 ),
inference(avatar_component_clause,[],[f100332]) ).
fof(f100345,definition,
( spl18_492
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true) ),
introduced(definition,[new_symbols(definition,[spl18_492])],[avatar_definition]) ).
fof(f100346,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| ~ spl18_492 ),
inference(avatar_component_clause,[],[f100345]) ).
fof(f100349,definition,
( spl18_493
<=> ! [X1] :
( false1 = sK1(false1,X1)
| true = sK1(false1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_493])],[avatar_definition]) ).
fof(f100350,plain,
( ! [X1] :
( false1 = sK1(false1,X1)
| true = sK1(false1,X1) )
| ~ spl18_493 ),
inference(avatar_component_clause,[],[f100349]) ).
fof(f100351,plain,
( spl18_493
| spl18_492 ),
inference(avatar_split_clause,[],[f100274,f100345,f100349]) ).
fof(f100567,plain,
( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
| ~ spl18_492 ),
inference(superposition,[],[f100346,f428]) ).
fof(f100710,plain,
( ~ forallprefers(lazy_impl(true,false1),true)
| ~ spl18_492 ),
inference(forward_demodulation,[],[f100567,f429]) ).
fof(f100742,plain,
( ~ forallprefers(false1,true)
| ~ spl18_492 ),
inference(forward_demodulation,[],[f100710,f674]) ).
fof(f100761,plain,
( $false
| ~ spl18_492 ),
inference(forward_subsumption_resolution,[],[f100742,f203]) ).
fof(f100762,plain,
~ spl18_492,
inference(avatar_contradiction_clause,[],[f100761]) ).
fof(f100898,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(false1),impl(lazy_impl(false1,impl(X1,false1)),false1)))
| true = sK1(false1,X1) )
| ~ spl18_493 ),
inference(superposition,[],[f187,f100350]) ).
fof(f100900,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(false1),impl(true,false1)))
| true = sK1(false1,X1) )
| ~ spl18_493 ),
inference(forward_demodulation,[],[f100898,f179]) ).
fof(f100902,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(prop(false1),false1))
| true = sK1(false1,X1) )
| ~ spl18_493 ),
inference(forward_demodulation,[],[f100900,f429]) ).
fof(f100904,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),lazy_impl(true,false1))
| true = sK1(false1,X1) )
| ~ spl18_493 ),
inference(forward_demodulation,[],[f100902,f428]) ).
fof(f100906,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(false1,impl(X1,X0)),X0)),false1)
| true = sK1(false1,X1) )
| ~ spl18_493 ),
inference(forward_demodulation,[],[f100904,f674]) ).
fof(f100908,definition,
( spl18_497
<=> ! [X1] : true = sK1(false1,X1) ),
introduced(definition,[new_symbols(definition,[spl18_497])],[avatar_definition]) ).
fof(f100909,plain,
( ! [X1] : true = sK1(false1,X1)
| ~ spl18_497 ),
inference(avatar_component_clause,[],[f100908]) ).
fof(f100911,definition,
( spl18_498
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),false1) ),
introduced(definition,[new_symbols(definition,[spl18_498])],[avatar_definition]) ).
fof(f100912,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),false1)
| ~ spl18_498 ),
inference(avatar_component_clause,[],[f100911]) ).
fof(f100914,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),false1)
| true = sK1(false1,X1) )
| ~ spl18_493 ),
inference(forward_demodulation,[],[f100906,f179]) ).
fof(f100915,plain,
( spl18_497
| spl18_498
| ~ spl18_493 ),
inference(avatar_split_clause,[],[f100914,f100349,f100911,f100908]) ).
fof(f100928,plain,
( ! [X0] :
( d(lazy_impl(prop(X0),impl(true,X0)))
| ~ d(false1) )
| ~ spl18_498 ),
inference(resolution,[],[f100912,f100]) ).
fof(f100929,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| ~ d(false1)
| bool(lazy_impl(prop(X0),impl(true,X0)))
| ~ bool(false1) )
| ~ spl18_498 ),
inference(resolution,[],[f100912,f99]) ).
fof(f101082,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0)))
| ~ bool(false1) )
| ~ spl18_498 ),
inference(forward_subsumption_resolution,[],[f100929,f167]) ).
fof(f101083,plain,
( ! [X0] : d(lazy_impl(prop(X0),impl(true,X0)))
| ~ spl18_498 ),
inference(forward_subsumption_resolution,[],[f100928,f167]) ).
fof(f101100,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),impl(true,X0)))
| bool(lazy_impl(prop(X0),impl(true,X0))) )
| ~ spl18_498 ),
inference(forward_subsumption_resolution,[],[f101082,f200]) ).
fof(f101101,plain,
( spl18_489
| ~ spl18_498 ),
inference(avatar_split_clause,[],[f101083,f100911,f100332]) ).
fof(f101107,plain,
( spl18_487
| ~ spl18_498 ),
inference(avatar_split_clause,[],[f101100,f100911,f100325]) ).
fof(f101111,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(prop(true),impl(true,true)))
| ~ spl18_497 ),
inference(superposition,[],[f97868,f100909]) ).
fof(f101114,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(prop(true),true))
| ~ spl18_497 ),
inference(forward_demodulation,[],[f101111,f266]) ).
fof(f101116,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),lazy_impl(true,true))
| ~ spl18_497 ),
inference(forward_demodulation,[],[f101114,f265]) ).
fof(f101118,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
| ~ spl18_497 ),
inference(forward_demodulation,[],[f101116,f407]) ).
fof(f101120,plain,
( spl18_492
| ~ spl18_497 ),
inference(avatar_split_clause,[],[f101118,f100908,f100345]) ).
fof(f101164,plain,
( ! [X0] :
( d(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = X0
| false1 = X0 )
| ~ spl18_489 ),
inference(superposition,[],[f100333,f586]) ).
fof(f101580,plain,
( ! [X0] :
( ~ d(lazy_impl(prop(X0),lazy_impl(true,X0)))
| bool(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = X0
| false1 = X0 )
| ~ spl18_487 ),
inference(superposition,[],[f100326,f586]) ).
fof(f101687,plain,
( ! [X0] :
( bool(lazy_impl(prop(X0),lazy_impl(true,X0)))
| true = X0
| false1 = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(forward_subsumption_resolution,[],[f101580,f101164]) ).
fof(f117948,plain,
! [X2,X0,X1] :
( impl(X1,X2) = lazy_impl(true,X2)
| impl(X0,X1) = lazy_impl(true,X1)
| prop(X0) = false1
| true = X2
| false1 = X2 ),
inference(resolution,[],[f679,f164]) ).
fof(f118028,plain,
! [X0] :
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sK7) = impl(X0,sK7)
| prop(X0) = false1
| true = sF10
| false1 = sF10 ),
inference(superposition,[],[f117948,f213]) ).
fof(f125421,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,X0))),lazy_impl(prop(sF10),lazy_impl(true,impl(sK7,sF10))))
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) ),
inference(superposition,[],[f4544,f209]) ).
fof(f125597,plain,
! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,X0))),lazy_impl(prop(sF10),lazy_impl(true,sF12)))
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) ),
inference(forward_demodulation,[],[f125421,f213]) ).
fof(f131801,plain,
( ! [X0,X1] :
( bool(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| true = X0
| false1 = X0
| true = X0
| false1 = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(superposition,[],[f101687,f409]) ).
fof(f131944,plain,
( ! [X0,X1] :
( bool(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| true = X0
| false1 = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(duplicate_literal_removal,[],[f131801]) ).
fof(f131977,plain,
( ! [X0,X1] :
( true = prop(lazy_impl(prop(X0),lazy_impl(X0,X1)))
| false1 = X0
| true = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(resolution,[],[f131944,f109]) ).
fof(f132213,plain,
( ! [X0] :
( true = prop(lazy_impl(prop(X0),not1(X0)))
| false1 = X0
| true = X0
| true = X0
| false1 = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(superposition,[],[f131977,f1752]) ).
fof(f132473,plain,
( ! [X0] :
( true = prop(lazy_impl(prop(X0),not1(X0)))
| false1 = X0
| true = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(duplicate_literal_removal,[],[f132213]) ).
fof(f132623,plain,
( ! [X0] :
( true = false1
| false1 = lazy_impl(prop(X0),not1(X0))
| true = lazy_impl(prop(X0),not1(X0))
| false1 = X0
| true = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(superposition,[],[f287,f132473]) ).
fof(f132776,plain,
( ! [X0] :
( false1 = lazy_impl(prop(X0),not1(X0))
| true = lazy_impl(prop(X0),not1(X0))
| false1 = X0
| true = X0 )
| ~ spl18_487
| ~ spl18_489 ),
inference(forward_subsumption_resolution,[],[f132623,f165]) ).
fof(f141312,definition,
( spl18_656
<=> ! [X0] : lazy_impl(true,sK7) = lazy_impl(sK7,X0) ),
introduced(definition,[new_symbols(definition,[spl18_656])],[avatar_definition]) ).
fof(f141313,plain,
( ! [X0] : lazy_impl(true,sK7) = lazy_impl(sK7,X0)
| ~ spl18_656 ),
inference(avatar_component_clause,[],[f141312]) ).
fof(f141553,definition,
( spl18_671
<=> ! [X0] :
( lazy_impl(true,sK7) = impl(X0,sK7)
| prop(X0) = false1 ) ),
introduced(definition,[new_symbols(definition,[spl18_671])],[avatar_definition]) ).
fof(f141554,plain,
( ! [X0] :
( lazy_impl(true,sK7) = impl(X0,sK7)
| prop(X0) = false1 )
| ~ spl18_671 ),
inference(avatar_component_clause,[],[f141553]) ).
fof(f141585,definition,
( spl18_674
<=> true = sK2(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl18_674])],[avatar_definition]) ).
fof(f141587,plain,
( true = sK2(true,sK8)
| ~ spl18_674 ),
inference(avatar_component_clause,[],[f141585]) ).
fof(f141589,definition,
( spl18_675
<=> false1 = sK2(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl18_675])],[avatar_definition]) ).
fof(f141591,plain,
( false1 = sK2(true,sK8)
| ~ spl18_675 ),
inference(avatar_component_clause,[],[f141589]) ).
fof(f144197,plain,
( ! [X0] :
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sK7) = lazy_impl(sK7,X0)
| false1 = sF10 )
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f5060,f850]) ).
fof(f144458,plain,
( ! [X0] :
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sK7) = impl(X0,sK7)
| prop(X0) = false1
| false1 = sF10 )
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f118028,f850]) ).
fof(f144704,plain,
( ! [X0] :
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sK7) = lazy_impl(sK7,X0) )
| spl18_27
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f144197,f846]) ).
fof(f144881,plain,
( ! [X0] :
( sF12 = lazy_impl(true,sF10)
| lazy_impl(true,sK7) = impl(X0,sK7)
| prop(X0) = false1 )
| spl18_27
| spl18_28 ),
inference(forward_subsumption_resolution,[],[f144458,f846]) ).
fof(f146663,plain,
( spl18_656
| spl18_42
| spl18_27
| spl18_28 ),
inference(avatar_split_clause,[],[f144704,f849,f845,f976,f141312]) ).
fof(f146669,plain,
( spl18_671
| spl18_42
| spl18_27
| spl18_28 ),
inference(avatar_split_clause,[],[f144881,f849,f845,f976,f141553]) ).
fof(f146761,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,X0))),lazy_impl(prop(sF10),not1(sF12)))
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_40 ),
inference(forward_demodulation,[],[f125597,f44522]) ).
fof(f147118,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,X0))),lazy_impl(prop(sF10),sF12))
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f146761,f38993]) ).
fof(f147421,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,X0))),lazy_impl(sF11,sF12))
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f147118,f211]) ).
fof(f147669,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,X0))),lazy_impl(false1,sF12))
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f147421,f243]) ).
fof(f147863,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sK7,X0))),true)
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f147669,f179]) ).
fof(f148027,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,impl(sF12,X0))),true)
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f147863,f1104]) ).
fof(f148175,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,lazy_impl(true,sF12))),true)
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f148027,f44517]) ).
fof(f148307,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,not1(sF12))),true)
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f148175,f44522]) ).
fof(f148426,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),lazy_impl(true,sF12)),true)
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f148307,f38993]) ).
fof(f148535,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),not1(sF12)),true)
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f148426,f44522]) ).
fof(f148628,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| false1 = impl(sK7,sF10)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f148535,f38993]) ).
fof(f153731,plain,
( ! [X0] : err = impl(sK8,X0)
| ~ spl18_23
| spl18_124 ),
inference(forward_demodulation,[],[f44660,f36180]) ).
fof(f153893,plain,
( ! [X0] :
( false1 = sF12
| ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f148628,f213]) ).
fof(f153910,definition,
( spl18_689
<=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sF12),true) ),
introduced(definition,[new_symbols(definition,[spl18_689])],[avatar_definition]) ).
fof(f153911,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| ~ spl18_689 ),
inference(avatar_component_clause,[],[f153910]) ).
fof(f154045,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| true = impl(sK7,sF10)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f153893,f330]) ).
fof(f154176,plain,
( ! [X0] :
( true = sF12
| ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154045,f213]) ).
fof(f154298,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| false1 = impl(sK7,X0)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f154176,f326]) ).
fof(f154376,plain,
( ! [X0] :
( false1 = impl(sF12,X0)
| ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154298,f1104]) ).
fof(f154449,plain,
( ! [X0] :
( false1 = lazy_impl(true,sF12)
| ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154376,f44517]) ).
fof(f154495,plain,
( ! [X0] :
( false1 = not1(sF12)
| ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154449,f44522]) ).
fof(f154530,plain,
( ! [X0] :
( false1 = sF12
| ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154495,f38993]) ).
fof(f154561,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| true = impl(sK7,X0) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f154530,f330]) ).
fof(f154587,plain,
( ! [X0] :
( true = impl(sF12,X0)
| ~ forallprefers(lazy_impl(prop(X0),sF12),true) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154561,f1104]) ).
fof(f154604,plain,
( ! [X0] :
( true = lazy_impl(true,sF12)
| ~ forallprefers(lazy_impl(prop(X0),sF12),true) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154587,f44517]) ).
fof(f154620,plain,
( ! [X0] :
( true = not1(sF12)
| ~ forallprefers(lazy_impl(prop(X0),sF12),true) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154604,f44522]) ).
fof(f154635,plain,
( ! [X0] :
( true = sF12
| ~ forallprefers(lazy_impl(prop(X0),sF12),true) )
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_demodulation,[],[f154620,f38993]) ).
fof(f154647,plain,
( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sF12),true)
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(forward_subsumption_resolution,[],[f154635,f326]) ).
fof(f154653,plain,
( spl18_689
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f154647,f1102,f958,f372,f368,f364,f329,f325,f241,f153910]) ).
fof(f163854,plain,
( ~ forallprefers(lazy_impl(true,sF12),true)
| ~ spl18_3
| ~ spl18_689 ),
inference(superposition,[],[f153911,f248]) ).
fof(f163900,plain,
( ~ forallprefers(not1(sF12),true)
| ~ spl18_3
| ~ spl18_40
| ~ spl18_689 ),
inference(forward_demodulation,[],[f163854,f44522]) ).
fof(f163924,plain,
( ~ forallprefers(sF12,true)
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_689 ),
inference(forward_demodulation,[],[f163900,f38993]) ).
fof(f165789,plain,
( d(sF12)
| ~ d(true)
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_689 ),
inference(resolution,[],[f163924,f100]) ).
fof(f165790,plain,
( ~ d(sF12)
| ~ d(true)
| bool(sF12)
| ~ bool(true)
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_689 ),
inference(resolution,[],[f163924,f99]) ).
fof(f165791,plain,
( ~ d(true)
| bool(sF12)
| ~ bool(true)
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_110
| ~ spl18_689 ),
inference(forward_subsumption_resolution,[],[f165790,f15366]) ).
fof(f165792,plain,
( bool(sF12)
| ~ bool(true)
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_110
| ~ spl18_689 ),
inference(forward_subsumption_resolution,[],[f165791,f97]) ).
fof(f165793,plain,
( ~ bool(true)
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_110
| ~ spl18_689 ),
inference(forward_subsumption_resolution,[],[f165792,f1087]) ).
fof(f165794,plain,
( $false
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_110
| ~ spl18_689 ),
inference(forward_subsumption_resolution,[],[f165793,f201]) ).
fof(f165795,plain,
( ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_110
| ~ spl18_689 ),
inference(avatar_contradiction_clause,[],[f165794]) ).
fof(f165942,plain,
( ~ d(true)
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| spl18_110
| ~ spl18_689 ),
inference(forward_subsumption_resolution,[],[f165789,f15367]) ).
fof(f165956,plain,
( $false
| ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| spl18_110
| ~ spl18_689 ),
inference(forward_subsumption_resolution,[],[f165942,f97]) ).
fof(f165957,plain,
( ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| spl18_110
| ~ spl18_689 ),
inference(avatar_contradiction_clause,[],[f165956]) ).
fof(f170099,definition,
( spl18_712
<=> true = prop(err) ),
introduced(definition,[new_symbols(definition,[spl18_712])],[avatar_definition]) ).
fof(f170100,plain,
( true != prop(err)
| spl18_712 ),
inference(avatar_component_clause,[],[f170099]) ).
fof(f170101,plain,
( true = prop(err)
| ~ spl18_712 ),
inference(avatar_component_clause,[],[f170099]) ).
fof(f174179,plain,
( ~ bool(err)
| ~ spl18_40
| ~ spl18_44 ),
inference(superposition,[],[f1087,f1100]) ).
fof(f174182,plain,
( ! [X0] : lazy_impl(true,err) = impl(err,X0)
| ~ spl18_40
| ~ spl18_44 ),
inference(superposition,[],[f44517,f1100]) ).
fof(f174203,plain,
( ! [X0] : err = impl(err,X0)
| ~ spl18_40
| ~ spl18_44 ),
inference(forward_demodulation,[],[f174182,f497]) ).
fof(f174206,plain,
( $false
| ~ spl18_40
| ~ spl18_44
| ~ spl18_309 ),
inference(forward_subsumption_resolution,[],[f174179,f52747]) ).
fof(f174207,plain,
( ~ spl18_40
| ~ spl18_44
| ~ spl18_309 ),
inference(avatar_contradiction_clause,[],[f174206]) ).
fof(f174214,plain,
( spl18_91
| ~ spl18_40
| ~ spl18_44 ),
inference(avatar_split_clause,[],[f174203,f1098,f958,f13532]) ).
fof(f174270,plain,
( $false
| ~ spl18_2
| ~ spl18_42
| ~ spl18_44
| spl18_264 ),
inference(forward_subsumption_resolution,[],[f44285,f1100]) ).
fof(f174271,plain,
( ~ spl18_2
| ~ spl18_42
| ~ spl18_44
| spl18_264 ),
inference(avatar_contradiction_clause,[],[f174270]) ).
fof(f174899,plain,
( err = lazy_impl(true,sF10)
| ~ spl18_2
| ~ spl18_264 ),
inference(forward_demodulation,[],[f45304,f41010]) ).
fof(f178551,plain,
( ! [X0] : lazy_impl(true,sK7) = impl(sK7,X0)
| ~ spl18_37 ),
inference(resolution,[],[f39027,f175]) ).
fof(f180756,definition,
( spl18_807
<=> ! [X1] : true = prop(sK2(sK7,X1)) ),
introduced(definition,[new_symbols(definition,[spl18_807])],[avatar_definition]) ).
fof(f180757,plain,
( ! [X1] : true = prop(sK2(sK7,X1))
| ~ spl18_807 ),
inference(avatar_component_clause,[],[f180756]) ).
fof(f180981,plain,
( true = prop(sF10)
| ~ spl18_807 ),
inference(superposition,[],[f180757,f209]) ).
fof(f181162,plain,
( true = sF11
| ~ spl18_807 ),
inference(forward_demodulation,[],[f180981,f211]) ).
fof(f181188,plain,
( $false
| spl18_1
| ~ spl18_807 ),
inference(forward_subsumption_resolution,[],[f181162,f238]) ).
fof(f181189,plain,
( spl18_1
| ~ spl18_807 ),
inference(avatar_contradiction_clause,[],[f181188]) ).
fof(f181525,plain,
( ! [X0] : sF12 = impl(sK7,X0)
| ~ spl18_20
| ~ spl18_37 ),
inference(forward_demodulation,[],[f178551,f374]) ).
fof(f181673,plain,
( ! [X0] : err = impl(sK7,X0)
| ~ spl18_20
| ~ spl18_37
| ~ spl18_44 ),
inference(forward_demodulation,[],[f181525,f1100]) ).
fof(f184181,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),impl(err,impl(impl(X1,X0),X0))),true)
| true = prop(sK2(sK7,X1)) )
| ~ spl18_20
| ~ spl18_37
| ~ spl18_44 ),
inference(superposition,[],[f1600,f181673]) ).
fof(f184422,plain,
( ! [X0,X1] :
( ~ forallprefers(lazy_impl(prop(X0),err),true)
| true = prop(sK2(sK7,X1)) )
| ~ spl18_20
| ~ spl18_37
| ~ spl18_44
| ~ spl18_91 ),
inference(forward_demodulation,[],[f184181,f13533]) ).
fof(f184553,plain,
( spl18_807
| spl18_396
| ~ spl18_20
| ~ spl18_37
| ~ spl18_44
| ~ spl18_91 ),
inference(avatar_split_clause,[],[f184422,f13532,f1098,f928,f372,f76938,f180756]) ).
fof(f184771,definition,
( spl18_808
<=> true = prop(lazy_impl(prop(sK7),err)) ),
introduced(definition,[new_symbols(definition,[spl18_808])],[avatar_definition]) ).
fof(f184772,plain,
( true != prop(lazy_impl(prop(sK7),err))
| spl18_808 ),
inference(avatar_component_clause,[],[f184771]) ).
fof(f184773,plain,
( true = prop(lazy_impl(prop(sK7),err))
| ~ spl18_808 ),
inference(avatar_component_clause,[],[f184771]) ).
fof(f185890,definition,
( spl18_871
<=> ! [X1] :
( false1 = impl(X1,false1)
| prop(X1) = false1 ) ),
introduced(definition,[new_symbols(definition,[spl18_871])],[avatar_definition]) ).
fof(f185891,plain,
( ! [X1] :
( false1 = impl(X1,false1)
| prop(X1) = false1 )
| ~ spl18_871 ),
inference(avatar_component_clause,[],[f185890]) ).
fof(f187430,plain,
( false1 != false1
| false1 = sK7
| true = sK7
| spl18_37 ),
inference(superposition,[],[f929,f287]) ).
fof(f187433,plain,
( false1 = sK7
| true = sK7
| spl18_37 ),
inference(trivial_inequality_removal,[],[f187430]) ).
fof(f187435,plain,
( true = sK7
| spl18_19
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f187433,f369]) ).
fof(f187436,plain,
( $false
| spl18_18
| spl18_19
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f187435,f365]) ).
fof(f187437,plain,
( spl18_18
| spl18_19
| spl18_37 ),
inference(avatar_contradiction_clause,[],[f187436]) ).
fof(f188279,plain,
( ! [X0] : lazy_impl(false1,X0) = lazy_impl(true,false1)
| ~ spl18_19
| ~ spl18_656 ),
inference(forward_demodulation,[],[f141313,f370]) ).
fof(f188285,plain,
( ! [X0] :
( lazy_impl(true,false1) = impl(X0,false1)
| prop(X0) = false1 )
| ~ spl18_19
| ~ spl18_671 ),
inference(forward_demodulation,[],[f141554,f370]) ).
fof(f188324,plain,
( ! [X0] : false1 = lazy_impl(false1,X0)
| ~ spl18_19
| ~ spl18_656 ),
inference(forward_demodulation,[],[f188279,f674]) ).
fof(f188330,plain,
( ! [X0] :
( false1 = impl(X0,false1)
| prop(X0) = false1 )
| ~ spl18_19
| ~ spl18_671 ),
inference(forward_demodulation,[],[f188285,f674]) ).
fof(f188368,plain,
( true = false1
| ~ spl18_19
| ~ spl18_656 ),
inference(forward_demodulation,[],[f188324,f179]) ).
fof(f188372,plain,
( spl18_871
| ~ spl18_19
| ~ spl18_671 ),
inference(avatar_split_clause,[],[f188330,f141553,f368,f185890]) ).
fof(f188411,plain,
( $false
| ~ spl18_19
| ~ spl18_656 ),
inference(forward_subsumption_resolution,[],[f188368,f165]) ).
fof(f188412,plain,
( ~ spl18_19
| ~ spl18_656 ),
inference(avatar_contradiction_clause,[],[f188411]) ).
fof(f188530,plain,
( sF10 = sK2(false1,sK8)
| ~ spl18_19 ),
inference(superposition,[],[f209,f370]) ).
fof(f188553,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(false1,sF10),impl(impl(sK8,sF10),sF10))))
| prop(X0) = false1 )
| ~ spl18_19 ),
inference(superposition,[],[f1541,f188530]) ).
fof(f188580,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(false1,sF10),impl(sF13,sF10))))
| prop(X0) = false1 )
| ~ spl18_19 ),
inference(forward_demodulation,[],[f188553,f215]) ).
fof(f188594,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(false1,sF10),sF14)))
| prop(X0) = false1 )
| ~ spl18_19 ),
inference(forward_demodulation,[],[f188580,f217]) ).
fof(f188608,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(false1,sF10),sF13)))
| prop(X0) = false1 )
| ~ spl18_19
| ~ spl18_116 ),
inference(forward_demodulation,[],[f188594,f15844]) ).
fof(f188622,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(impl(false1,sF10),err)))
| prop(X0) = false1 )
| ~ spl18_19
| ~ spl18_116
| ~ spl18_177 ),
inference(forward_demodulation,[],[f188608,f21854]) ).
fof(f188636,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(lazy_impl(true,sF10),err)))
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_116
| ~ spl18_177 ),
inference(forward_demodulation,[],[f188622,f45319]) ).
fof(f188650,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),impl(err,err)))
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_116
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188636,f174899]) ).
fof(f188663,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(prop(sF10),err))
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188650,f13533]) ).
fof(f188676,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(sF11,err))
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188663,f211]) ).
fof(f188686,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),lazy_impl(false1,err))
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188676,f243]) ).
fof(f188696,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(impl(sK8,X0),X0))),true)
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188686,f179]) ).
fof(f188704,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,impl(err,X0))),true)
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188696,f153731]) ).
fof(f188712,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),impl(true,err)),true)
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188704,f13533]) ).
fof(f188716,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(prop(X0),err),true)
| prop(X0) = false1 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264 ),
inference(forward_demodulation,[],[f188712,f4869]) ).
fof(f189243,plain,
( ~ forallprefers(lazy_impl(true,impl(true,impl(impl(sK8,true),true))),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),impl(err,sK2(true,sK8)))))
| ~ spl18_23
| spl18_124 ),
inference(superposition,[],[f1621,f153731]) ).
fof(f189265,plain,
( ~ forallprefers(lazy_impl(true,impl(true,impl(impl(sK8,true),true))),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_91
| spl18_124 ),
inference(forward_demodulation,[],[f189243,f13533]) ).
fof(f189388,plain,
( ~ forallprefers(lazy_impl(true,impl(true,impl(err,true))),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_91
| spl18_124 ),
inference(forward_demodulation,[],[f189265,f153731]) ).
fof(f189498,plain,
( ~ forallprefers(lazy_impl(true,impl(true,err)),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_91
| spl18_124 ),
inference(forward_demodulation,[],[f189388,f13533]) ).
fof(f189592,plain,
( ~ forallprefers(lazy_impl(true,err),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_91
| spl18_124 ),
inference(forward_demodulation,[],[f189498,f4869]) ).
fof(f189639,plain,
( ~ forallprefers(err,lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_91
| spl18_124 ),
inference(forward_demodulation,[],[f189592,f497]) ).
fof(f191725,plain,
( ! [X0] :
( true = false1
| false1 = prop(false1)
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_871 ),
inference(superposition,[],[f185891,f713]) ).
fof(f191997,plain,
( ! [X0] :
( false1 = prop(false1)
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_871 ),
inference(forward_subsumption_resolution,[],[f191725,f165]) ).
fof(f192070,plain,
( ! [X0] :
( true = false1
| lazy_impl(false1,X0) = lazy_impl(true,false1) )
| ~ spl18_871 ),
inference(forward_demodulation,[],[f191997,f428]) ).
fof(f192117,plain,
( ! [X0] : lazy_impl(false1,X0) = lazy_impl(true,false1)
| ~ spl18_871 ),
inference(forward_subsumption_resolution,[],[f192070,f165]) ).
fof(f192148,plain,
( ! [X0] : false1 = lazy_impl(false1,X0)
| ~ spl18_871 ),
inference(forward_demodulation,[],[f192117,f674]) ).
fof(f192161,plain,
( true = false1
| ~ spl18_871 ),
inference(forward_demodulation,[],[f192148,f179]) ).
fof(f192171,plain,
( $false
| ~ spl18_871 ),
inference(forward_subsumption_resolution,[],[f192161,f165]) ).
fof(f192172,plain,
~ spl18_871,
inference(avatar_contradiction_clause,[],[f192171]) ).
fof(f203902,plain,
( false1 = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| true = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(superposition,[],[f132776,f184773]) ).
fof(f203917,plain,
( false1 = lazy_impl(true,not1(lazy_impl(prop(false1),err)))
| true = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f203902,f370]) ).
fof(f204021,plain,
( false1 = lazy_impl(true,not1(lazy_impl(true,err)))
| true = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f203917,f428]) ).
fof(f204119,plain,
( false1 = lazy_impl(true,not1(err))
| true = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204021,f497]) ).
fof(f204217,plain,
( false1 = lazy_impl(true,err)
| true = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204119,f1759]) ).
fof(f204290,plain,
( err = false1
| true = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204217,f497]) ).
fof(f204358,plain,
( true = lazy_impl(true,not1(lazy_impl(prop(sK7),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_subsumption_resolution,[],[f204290,f166]) ).
fof(f204418,plain,
( true = lazy_impl(true,not1(lazy_impl(prop(false1),err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204358,f370]) ).
fof(f204455,plain,
( true = lazy_impl(true,not1(lazy_impl(true,err)))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204418,f428]) ).
fof(f204481,plain,
( true = lazy_impl(true,not1(err))
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204455,f497]) ).
fof(f204503,plain,
( true = lazy_impl(true,err)
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204481,f1759]) ).
fof(f204514,plain,
( true = err
| false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204503,f497]) ).
fof(f204523,plain,
( false1 = lazy_impl(prop(sK7),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_subsumption_resolution,[],[f204514,f93]) ).
fof(f204533,plain,
( false1 = lazy_impl(prop(false1),err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204523,f370]) ).
fof(f204541,plain,
( false1 = lazy_impl(true,err)
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204533,f428]) ).
fof(f204554,plain,
( err = false1
| true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204541,f497]) ).
fof(f204558,plain,
( true = lazy_impl(prop(sK7),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_subsumption_resolution,[],[f204554,f166]) ).
fof(f204560,plain,
( true = lazy_impl(prop(false1),err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204558,f370]) ).
fof(f204562,plain,
( true = lazy_impl(true,err)
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204560,f428]) ).
fof(f204564,plain,
( true = err
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_demodulation,[],[f204562,f497]) ).
fof(f204566,plain,
( $false
| ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(forward_subsumption_resolution,[],[f204564,f93]) ).
fof(f204567,plain,
( ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(avatar_contradiction_clause,[],[f204566]) ).
fof(f223283,definition,
( spl18_896
<=> err = or1(true,sK8) ),
introduced(definition,[new_symbols(definition,[spl18_896])],[avatar_definition]) ).
fof(f223285,plain,
( err = or1(true,sK8)
| ~ spl18_896 ),
inference(avatar_component_clause,[],[f223283]) ).
fof(f223306,plain,
( spl18_896
| ~ spl18_17
| ~ spl18_23
| ~ spl18_177 ),
inference(avatar_split_clause,[],[f35612,f21852,f537,f359,f223283]) ).
fof(f224629,plain,
( err = lazy_impl(true,sK8)
| true = or1(true,sK8)
| false1 = prop(true)
| ~ spl18_896 ),
inference(superposition,[],[f223285,f599]) ).
fof(f303906,plain,
( ~ forallprefers(lazy_impl(true,impl(false1,err)),lazy_impl(false1,impl(impl(true,sK2(true,sK8)),impl(impl(sK8,sK2(true,sK8)),sK2(true,sK8)))))
| false1 = sK2(true,sK8)
| true = sK2(true,sK8)
| spl18_131 ),
inference(superposition,[],[f17001,f287]) ).
fof(f304281,plain,
( ~ forallprefers(lazy_impl(true,impl(false1,err)),true)
| false1 = sK2(true,sK8)
| true = sK2(true,sK8)
| spl18_131 ),
inference(forward_demodulation,[],[f303906,f179]) ).
fof(f304452,plain,
( ~ forallprefers(lazy_impl(true,err),true)
| false1 = sK2(true,sK8)
| true = sK2(true,sK8)
| ~ spl18_70
| spl18_131
| spl18_309
| ~ spl18_381 ),
inference(forward_demodulation,[],[f304281,f61216]) ).
fof(f304695,plain,
( ~ forallprefers(err,true)
| false1 = sK2(true,sK8)
| true = sK2(true,sK8)
| ~ spl18_70
| spl18_131
| spl18_309
| ~ spl18_381 ),
inference(forward_demodulation,[],[f304452,f497]) ).
fof(f304827,plain,
( false1 = sK2(true,sK8)
| true = sK2(true,sK8)
| ~ spl18_70
| spl18_131
| ~ spl18_276
| spl18_309
| ~ spl18_381 ),
inference(forward_subsumption_resolution,[],[f304695,f52388]) ).
fof(f305127,plain,
( forallprefers(lazy_impl(true,impl(false1,err)),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),impl(err,sK2(true,sK8)))))
| ~ spl18_23
| spl18_124
| ~ spl18_131 ),
inference(forward_demodulation,[],[f17000,f153731]) ).
fof(f305128,plain,
( forallprefers(lazy_impl(true,impl(false1,err)),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_91
| spl18_124
| ~ spl18_131 ),
inference(forward_demodulation,[],[f305127,f13533]) ).
fof(f305129,plain,
( forallprefers(lazy_impl(true,err),lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_70
| ~ spl18_91
| spl18_124
| ~ spl18_131
| spl18_309
| ~ spl18_381 ),
inference(forward_demodulation,[],[f305128,f61216]) ).
fof(f305130,plain,
( forallprefers(err,lazy_impl(prop(sK2(true,sK8)),impl(impl(true,sK2(true,sK8)),err)))
| ~ spl18_23
| ~ spl18_70
| ~ spl18_91
| spl18_124
| ~ spl18_131
| spl18_309
| ~ spl18_381 ),
inference(forward_demodulation,[],[f305129,f497]) ).
fof(f305131,plain,
( $false
| ~ spl18_23
| ~ spl18_70
| ~ spl18_91
| spl18_124
| ~ spl18_131
| spl18_309
| ~ spl18_381 ),
inference(forward_subsumption_resolution,[],[f305130,f189639]) ).
fof(f305132,plain,
( ~ spl18_23
| ~ spl18_70
| ~ spl18_91
| spl18_124
| ~ spl18_131
| spl18_309
| ~ spl18_381 ),
inference(avatar_contradiction_clause,[],[f305131]) ).
fof(f305159,plain,
( spl18_674
| spl18_675
| ~ spl18_70
| spl18_131
| ~ spl18_276
| spl18_309
| ~ spl18_381 ),
inference(avatar_split_clause,[],[f304827,f60326,f52745,f52387,f16999,f6135,f141589,f141585]) ).
fof(f314563,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(true,err),true)
| true = false1
| false1 = X0
| true = X0 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264
| ~ spl18_487
| ~ spl18_489 ),
inference(superposition,[],[f188716,f132473]) ).
fof(f314658,plain,
( ! [X0] :
( ~ forallprefers(lazy_impl(true,err),true)
| false1 = X0
| true = X0 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264
| ~ spl18_487
| ~ spl18_489 ),
inference(forward_subsumption_resolution,[],[f314563,f165]) ).
fof(f314688,plain,
( ! [X0] :
( ~ forallprefers(err,true)
| false1 = X0
| true = X0 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264
| ~ spl18_487
| ~ spl18_489 ),
inference(forward_demodulation,[],[f314658,f497]) ).
fof(f314732,plain,
( ! [X0] :
( false1 = X0
| true = X0 )
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264
| ~ spl18_276
| ~ spl18_487
| ~ spl18_489 ),
inference(forward_subsumption_resolution,[],[f314688,f52388]) ).
fof(f314753,plain,
( spl18_49
| ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264
| ~ spl18_276
| ~ spl18_487
| ~ spl18_489 ),
inference(avatar_split_clause,[],[f314732,f100332,f100325,f52387,f41008,f21852,f16804,f15842,f13532,f537,f368,f241,f1649]) ).
fof(f316894,plain,
( sF10 = sK2(true,sK8)
| ~ spl18_18 ),
inference(superposition,[],[f209,f366]) ).
fof(f316905,plain,
( false1 = sF10
| ~ spl18_18
| ~ spl18_675 ),
inference(forward_demodulation,[],[f316894,f141591]) ).
fof(f316908,plain,
( $false
| ~ spl18_18
| spl18_27
| ~ spl18_675 ),
inference(forward_subsumption_resolution,[],[f316905,f846]) ).
fof(f316909,plain,
( ~ spl18_18
| spl18_27
| ~ spl18_675 ),
inference(avatar_contradiction_clause,[],[f316908]) ).
fof(f316992,plain,
( true = sF10
| ~ spl18_18
| ~ spl18_674 ),
inference(forward_demodulation,[],[f316894,f141587]) ).
fof(f317069,plain,
( $false
| ~ spl18_18
| spl18_28
| ~ spl18_674 ),
inference(forward_subsumption_resolution,[],[f316992,f850]) ).
fof(f317070,plain,
( ~ spl18_18
| spl18_28
| ~ spl18_674 ),
inference(avatar_contradiction_clause,[],[f317069]) ).
fof(f317242,plain,
( err = sF13
| ~ spl18_2
| ~ spl18_16
| ~ spl18_42
| ~ spl18_44 ),
inference(forward_demodulation,[],[f32910,f1100]) ).
fof(f317333,plain,
( err = sF13
| ~ spl18_42
| ~ spl18_43
| ~ spl18_44 ),
inference(forward_demodulation,[],[f43307,f1100]) ).
fof(f317727,plain,
( err = lazy_impl(true,false1)
| true = or1(true,sK8)
| false1 = prop(true)
| ~ spl18_16
| ~ spl18_896 ),
inference(forward_demodulation,[],[f224629,f357]) ).
fof(f318979,plain,
( true != prop(lazy_impl(prop(false1),err))
| ~ spl18_19
| spl18_808 ),
inference(forward_demodulation,[],[f184772,f370]) ).
fof(f319030,plain,
( $false
| ~ spl18_2
| ~ spl18_16
| ~ spl18_42
| ~ spl18_44
| spl18_177 ),
inference(forward_subsumption_resolution,[],[f317242,f21853]) ).
fof(f319031,plain,
( ~ spl18_2
| ~ spl18_16
| ~ spl18_42
| ~ spl18_44
| spl18_177 ),
inference(avatar_contradiction_clause,[],[f319030]) ).
fof(f319119,plain,
( $false
| ~ spl18_42
| ~ spl18_43
| ~ spl18_44
| spl18_177 ),
inference(forward_subsumption_resolution,[],[f317333,f21853]) ).
fof(f319120,plain,
( ~ spl18_42
| ~ spl18_43
| ~ spl18_44
| spl18_177 ),
inference(avatar_contradiction_clause,[],[f319119]) ).
fof(f319489,plain,
( err = false1
| true = or1(true,sK8)
| false1 = prop(true)
| ~ spl18_16
| ~ spl18_896 ),
inference(forward_demodulation,[],[f317727,f674]) ).
fof(f320274,plain,
( true != prop(lazy_impl(true,err))
| ~ spl18_19
| spl18_808 ),
inference(forward_demodulation,[],[f318979,f428]) ).
fof(f320571,plain,
( true = or1(true,sK8)
| false1 = prop(true)
| ~ spl18_16
| ~ spl18_896 ),
inference(forward_subsumption_resolution,[],[f319489,f166]) ).
fof(f321272,plain,
( true != prop(err)
| ~ spl18_19
| spl18_808 ),
inference(forward_demodulation,[],[f320274,f497]) ).
fof(f321510,plain,
( true = err
| false1 = prop(true)
| ~ spl18_16
| ~ spl18_896 ),
inference(forward_demodulation,[],[f320571,f223285]) ).
fof(f322236,plain,
( false1 = prop(true)
| ~ spl18_16
| ~ spl18_896 ),
inference(forward_subsumption_resolution,[],[f321510,f93]) ).
fof(f322812,plain,
( true = false1
| ~ spl18_16
| ~ spl18_896 ),
inference(forward_demodulation,[],[f322236,f265]) ).
fof(f323214,plain,
( $false
| ~ spl18_16
| ~ spl18_896 ),
inference(forward_subsumption_resolution,[],[f322812,f165]) ).
fof(f323215,plain,
( ~ spl18_16
| ~ spl18_896 ),
inference(avatar_contradiction_clause,[],[f323214]) ).
fof(f323906,plain,
( err = sF12
| ~ spl18_2
| ~ spl18_36
| ~ spl18_42
| spl18_44
| ~ spl18_115 ),
inference(forward_demodulation,[],[f37695,f15840]) ).
fof(f329572,plain,
( $false
| ~ spl18_2
| ~ spl18_36
| ~ spl18_42
| spl18_44
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f323906,f1099]) ).
fof(f329573,plain,
( ~ spl18_2
| ~ spl18_36
| ~ spl18_42
| spl18_44
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f329572]) ).
fof(f343549,plain,
( spl18_31
| ~ spl18_1
| ~ spl18_102 ),
inference(avatar_split_clause,[],[f20607,f14722,f237,f865]) ).
fof(f343555,plain,
( spl18_31
| ~ spl18_9
| ~ spl18_33 ),
inference(avatar_split_clause,[],[f1257,f885,f325,f865]) ).
fof(f343570,plain,
( true = false1
| ~ spl18_30
| ~ spl18_33 ),
inference(forward_demodulation,[],[f887,f859]) ).
fof(f343571,plain,
( $false
| ~ spl18_12
| ~ spl18_33
| spl18_116 ),
inference(forward_subsumption_resolution,[],[f20153,f340]) ).
fof(f343572,plain,
( ~ spl18_12
| ~ spl18_33
| spl18_116 ),
inference(avatar_contradiction_clause,[],[f343571]) ).
fof(f345608,plain,
( true != prop(false1)
| ~ spl18_26
| ~ spl18_30
| spl18_154 ),
inference(forward_demodulation,[],[f23855,f859]) ).
fof(f346177,plain,
( true = sF14
| ~ spl18_26
| ~ spl18_31 ),
inference(forward_demodulation,[],[f560,f867]) ).
fof(f346221,plain,
( $false
| ~ spl18_30
| ~ spl18_33 ),
inference(forward_subsumption_resolution,[],[f343570,f165]) ).
fof(f346222,plain,
( ~ spl18_30
| ~ spl18_33 ),
inference(avatar_contradiction_clause,[],[f346221]) ).
fof(f347414,plain,
( $false
| ~ spl18_26
| ~ spl18_30
| spl18_154 ),
inference(forward_subsumption_resolution,[],[f345608,f428]) ).
fof(f347415,plain,
( ~ spl18_26
| ~ spl18_30
| spl18_154 ),
inference(avatar_contradiction_clause,[],[f347414]) ).
fof(f347940,plain,
( true = false1
| ~ spl18_26
| ~ spl18_30
| ~ spl18_31 ),
inference(forward_demodulation,[],[f346177,f859]) ).
fof(f349442,plain,
( $false
| ~ spl18_26
| ~ spl18_30
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f347940,f165]) ).
fof(f349443,plain,
( ~ spl18_26
| ~ spl18_30
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f349442]) ).
fof(f353879,plain,
( false1 != sF9
| ~ spl18_21
| ~ spl18_101 ),
inference(forward_demodulation,[],[f19158,f14720]) ).
fof(f354561,plain,
( $false
| ~ spl18_16
| ~ spl18_19
| ~ spl18_21
| ~ spl18_101 ),
inference(forward_subsumption_resolution,[],[f353879,f1373]) ).
fof(f354562,plain,
( ~ spl18_16
| ~ spl18_19
| ~ spl18_21
| ~ spl18_101 ),
inference(avatar_contradiction_clause,[],[f354561]) ).
fof(f356320,plain,
( true = prop(err)
| ~ spl18_8
| ~ spl18_22
| ~ spl18_104 ),
inference(forward_demodulation,[],[f19035,f466]) ).
fof(f356406,plain,
( $false
| ~ spl18_8
| ~ spl18_22
| ~ spl18_104
| spl18_712 ),
inference(forward_subsumption_resolution,[],[f356320,f170100]) ).
fof(f356407,plain,
( ~ spl18_8
| ~ spl18_22
| ~ spl18_104
| spl18_712 ),
inference(avatar_contradiction_clause,[],[f356406]) ).
fof(f356975,plain,
( $false
| ~ spl18_19
| ~ spl18_712
| spl18_808 ),
inference(forward_subsumption_resolution,[],[f321272,f170101]) ).
fof(f356976,plain,
( ~ spl18_19
| ~ spl18_712
| spl18_808 ),
inference(avatar_contradiction_clause,[],[f356975]) ).
cnf(s4,plain,
( spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f261]) ).
cnf(s5,plain,
( spl18_4
| spl18_7
| spl18_8 ),
inference(sat_conversion,[],[f309]) ).
cnf(s12,plain,
( spl18_9
| spl18_10
| spl18_11 ),
inference(sat_conversion,[],[f376]) ).
cnf(s13,plain,
( spl18_12
| spl18_13
| spl18_14 ),
inference(sat_conversion,[],[f377]) ).
cnf(s14,plain,
( spl18_15
| spl18_16
| spl18_17 ),
inference(sat_conversion,[],[f378]) ).
cnf(s15,plain,
( spl18_18
| spl18_19
| spl18_20 ),
inference(sat_conversion,[],[f379]) ).
cnf(s16,plain,
( spl18_21
| spl18_22 ),
inference(sat_conversion,[],[f467]) ).
cnf(s18,plain,
( spl18_21
| spl18_22 ),
inference(sat_conversion,[],[f469]) ).
cnf(s22,plain,
( ~ spl18_18
| spl18_23
| spl18_24 ),
inference(sat_conversion,[],[f546]) ).
cnf(s26,plain,
( ~ spl18_9
| spl18_25
| spl18_26 ),
inference(sat_conversion,[],[f562]) ).
cnf(s36,plain,
( ~ spl18_10
| spl18_25
| spl18_31 ),
inference(sat_conversion,[],[f869]) ).
cnf(s38,plain,
( ~ spl18_19
| spl18_23
| spl18_32 ),
inference(sat_conversion,[],[f877]) ).
cnf(s48,plain,
( ~ spl18_2
| spl18_23
| spl18_27
| spl18_28
| spl18_36 ),
inference(sat_conversion,[],[f919]) ).
cnf(s52,plain,
( ~ spl18_2
| ~ spl18_9
| spl18_27
| spl18_28
| spl18_37
| spl18_39 ),
inference(sat_conversion,[],[f942]) ).
cnf(s58,plain,
( spl18_30
| spl18_33
| spl18_34
| spl18_40 ),
inference(sat_conversion,[],[f962]) ).
cnf(s62,plain,
( spl18_27
| spl18_28
| spl18_37
| spl18_42 ),
inference(sat_conversion,[],[f982]) ).
cnf(s64,plain,
( ~ spl18_1
| spl18_27
| spl18_28 ),
inference(sat_conversion,[],[f992]) ).
cnf(s66,plain,
( ~ spl18_16
| spl18_27
| spl18_28
| spl18_43 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s67,plain,
( spl18_12
| ~ spl18_16
| ~ spl18_27 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s68,plain,
( ~ spl18_12
| ~ spl18_27
| spl18_30 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s69,plain,
( ~ spl18_2
| ~ spl18_27 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s70,plain,
( ~ spl18_12
| ~ spl18_28
| ~ spl18_30 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s71,plain,
( ~ spl18_12
| ~ spl18_28
| spl18_33 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s72,plain,
( spl18_12
| ~ spl18_16
| ~ spl18_28 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s74,plain,
( ~ spl18_2
| ~ spl18_28 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s77,plain,
( ~ spl18_20
| spl18_44
| spl18_45 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s84,plain,
( ~ spl18_9
| spl18_18
| ~ spl18_45 ),
inference(sat_conversion,[],[f1203]) ).
cnf(s89,plain,
( ~ spl18_16
| ~ spl18_18
| spl18_24 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s93,plain,
( ~ spl18_9
| ~ spl18_40 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s103,plain,
( spl18_9
| ~ spl18_18
| ~ spl18_28 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s104,plain,
( ~ spl18_1
| ~ spl18_22
| ~ spl18_31 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s106,plain,
( ~ spl18_1
| ~ spl18_21
| ~ spl18_24
| ~ spl18_31 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s121,plain,
( ~ spl18_25
| ~ spl18_33 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s122,plain,
( spl18_4
| ~ spl18_7 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s126,plain,
( ~ spl18_8
| ~ spl18_47 ),
inference(sat_conversion,[],[f1955]) ).
cnf(s156,plain,
~ spl18_49,
inference(sat_conversion,[],[f7902]) ).
cnf(s184,plain,
( ~ spl18_16
| ~ spl18_19
| ~ spl18_28
| spl18_74 ),
inference(sat_conversion,[],[f13652]) ).
cnf(s193,plain,
~ spl18_74,
inference(sat_conversion,[],[f13913]) ).
cnf(s206,plain,
( ~ spl18_10
| ~ spl18_44 ),
inference(sat_conversion,[],[f14489]) ).
cnf(s216,plain,
( ~ spl18_21
| spl18_103
| spl18_104 ),
inference(sat_conversion,[],[f14740]) ).
cnf(s237,plain,
( spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_22
| ~ spl18_44 ),
inference(sat_conversion,[],[f14958]) ).
cnf(s258,plain,
( ~ spl18_1
| spl18_9
| spl18_10
| ~ spl18_11
| ~ spl18_20
| ~ spl18_22
| spl18_44
| ~ spl18_45 ),
inference(sat_conversion,[],[f15460]) ).
cnf(s266,plain,
( spl18_9
| ~ spl18_19
| ~ spl18_28 ),
inference(sat_conversion,[],[f15475]) ).
cnf(s271,plain,
( ~ spl18_1
| spl18_10
| ~ spl18_11
| spl18_18
| ~ spl18_20
| ~ spl18_21
| ~ spl18_45 ),
inference(sat_conversion,[],[f15719]) ).
cnf(s275,plain,
( ~ spl18_14
| ~ spl18_116
| spl18_117 ),
inference(sat_conversion,[],[f15856]) ).
cnf(s276,plain,
( ~ spl18_14
| ~ spl18_116
| spl18_118 ),
inference(sat_conversion,[],[f15872]) ).
cnf(s279,plain,
( spl18_12
| ~ spl18_15
| ~ spl18_28 ),
inference(sat_conversion,[],[f15957]) ).
cnf(s280,plain,
( ~ spl18_10
| spl18_19
| ~ spl18_45 ),
inference(sat_conversion,[],[f15979]) ).
cnf(s281,plain,
( ~ spl18_14
| spl18_115
| spl18_116 ),
inference(sat_conversion,[],[f15983]) ).
cnf(s282,plain,
( spl18_12
| spl18_13
| ~ spl18_14
| spl18_120 ),
inference(sat_conversion,[],[f16123]) ).
cnf(s337,plain,
( ~ spl18_10
| ~ spl18_40 ),
inference(sat_conversion,[],[f17078]) ).
cnf(s354,plain,
( ~ spl18_1
| ~ spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_44 ),
inference(sat_conversion,[],[f17434]) ).
cnf(s364,plain,
( spl18_9
| ~ spl18_19
| ~ spl18_27 ),
inference(sat_conversion,[],[f17511]) ).
cnf(s365,plain,
( spl18_10
| ~ spl18_18
| ~ spl18_27 ),
inference(sat_conversion,[],[f17535]) ).
cnf(s371,plain,
( ~ spl18_13
| ~ spl18_27
| spl18_33 ),
inference(sat_conversion,[],[f18014]) ).
cnf(s383,plain,
( ~ spl18_12
| spl18_15
| ~ spl18_17 ),
inference(sat_conversion,[],[f18177]) ).
cnf(s384,plain,
( ~ spl18_15
| ~ spl18_18
| spl18_24 ),
inference(sat_conversion,[],[f18180]) ).
cnf(s415,plain,
( spl18_13
| ~ spl18_15
| ~ spl18_27 ),
inference(sat_conversion,[],[f18894]) ).
cnf(s427,plain,
( spl18_13
| ~ spl18_30
| ~ spl18_116 ),
inference(sat_conversion,[],[f19329]) ).
cnf(s441,plain,
( ~ spl18_10
| ~ spl18_11
| spl18_13
| ~ spl18_14
| spl18_33
| ~ spl18_116 ),
inference(sat_conversion,[],[f19461]) ).
cnf(s454,plain,
( ~ spl18_25
| ~ spl18_30 ),
inference(sat_conversion,[],[f19859]) ).
cnf(s456,plain,
( spl18_13
| ~ spl18_16
| ~ spl18_23 ),
inference(sat_conversion,[],[f19863]) ).
cnf(s475,plain,
( spl18_12
| ~ spl18_14
| ~ spl18_33 ),
inference(sat_conversion,[],[f20063]) ).
cnf(s498,plain,
( ~ spl18_102
| ~ spl18_103 ),
inference(sat_conversion,[],[f20606]) ).
cnf(s511,plain,
( ~ spl18_13
| spl18_16
| ~ spl18_17 ),
inference(sat_conversion,[],[f20862]) ).
cnf(s520,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_32
| ~ spl18_38
| ~ spl18_115
| spl18_116
| ~ spl18_120 ),
inference(sat_conversion,[],[f20975]) ).
cnf(s543,plain,
( ~ spl18_25
| spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_117 ),
inference(sat_conversion,[],[f21460]) ).
cnf(s547,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_25
| ~ spl18_34
| ~ spl18_102
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(sat_conversion,[],[f21558]) ).
cnf(s560,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_101 ),
inference(sat_conversion,[],[f21706]) ).
cnf(s568,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| spl18_12
| ~ spl18_21
| ~ spl18_25
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| ~ spl18_120 ),
inference(sat_conversion,[],[f21775]) ).
cnf(s580,plain,
( ~ spl18_18
| ~ spl18_37 ),
inference(sat_conversion,[],[f21910]) ).
cnf(s605,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| spl18_37
| spl18_38 ),
inference(sat_conversion,[],[f22030]) ).
cnf(s607,plain,
( ~ spl18_17
| spl18_32
| ~ spl18_38
| spl18_177 ),
inference(sat_conversion,[],[f22031]) ).
cnf(s610,plain,
( spl18_32
| ~ spl18_38
| ~ spl18_176 ),
inference(sat_conversion,[],[f22032]) ).
cnf(s612,plain,
( ~ spl18_115
| spl18_116
| ~ spl18_177 ),
inference(sat_conversion,[],[f22126]) ).
cnf(s616,plain,
( ~ spl18_1
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(sat_conversion,[],[f22249]) ).
cnf(s618,plain,
( ~ spl18_1
| ~ spl18_10
| spl18_11
| ~ spl18_21
| spl18_22
| ~ spl18_34
| ~ spl18_115 ),
inference(sat_conversion,[],[f22268]) ).
cnf(s632,plain,
( ~ spl18_9
| ~ spl18_10 ),
inference(sat_conversion,[],[f22449]) ).
cnf(s634,plain,
( ~ spl18_19
| ~ spl18_37 ),
inference(sat_conversion,[],[f22544]) ).
cnf(s648,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_19
| spl18_38 ),
inference(sat_conversion,[],[f22696]) ).
cnf(s668,plain,
( ~ spl18_22
| ~ spl18_38
| ~ spl18_177 ),
inference(sat_conversion,[],[f22833]) ).
cnf(s686,plain,
( ~ spl18_32
| ~ spl18_38
| spl18_176 ),
inference(sat_conversion,[],[f23163]) ).
cnf(s692,plain,
( ~ spl18_1
| ~ spl18_8
| spl18_104
| ~ spl18_154 ),
inference(sat_conversion,[],[f23789]) ).
cnf(s700,plain,
( ~ spl18_1
| ~ spl18_8
| spl18_101
| spl18_102
| ~ spl18_154 ),
inference(sat_conversion,[],[f23830]) ).
cnf(s709,plain,
( ~ spl18_70
| spl18_91 ),
inference(sat_conversion,[],[f25098]) ).
cnf(s733,plain,
( spl18_21
| spl18_104
| ~ spl18_137 ),
inference(sat_conversion,[],[f26349]) ).
cnf(s739,plain,
( spl18_21
| spl18_101
| spl18_102
| ~ spl18_137 ),
inference(sat_conversion,[],[f26362]) ).
cnf(s740,plain,
( ~ spl18_1
| spl18_12
| spl18_21
| ~ spl18_22
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_116
| ~ spl18_137 ),
inference(sat_conversion,[],[f26364]) ).
cnf(s741,plain,
( ~ spl18_1
| spl18_21
| ~ spl18_22
| ~ spl18_26
| ~ spl18_116
| ~ spl18_118
| spl18_137 ),
inference(sat_conversion,[],[f26367]) ).
cnf(s744,plain,
( ~ spl18_2
| ~ spl18_22 ),
inference(sat_conversion,[],[f26517]) ).
cnf(s752,plain,
( ~ spl18_8
| ~ spl18_21
| ~ spl18_25
| ~ spl18_104
| ~ spl18_116
| spl18_175 ),
inference(sat_conversion,[],[f27750]) ).
cnf(s753,plain,
( ~ spl18_102
| spl18_173
| ~ spl18_175 ),
inference(sat_conversion,[],[f27752]) ).
cnf(s754,plain,
( ~ spl18_202
| ~ spl18_203
| spl18_204 ),
inference(sat_conversion,[],[f27766]) ).
cnf(s755,plain,
( ~ spl18_203
| spl18_205 ),
inference(sat_conversion,[],[f27778]) ).
cnf(s800,plain,
( spl18_3
| spl18_47 ),
inference(sat_conversion,[],[f27994]) ).
cnf(s825,plain,
~ spl18_4,
inference(sat_conversion,[],[f28152]) ).
cnf(s837,plain,
( ~ spl18_8
| spl18_203 ),
inference(sat_conversion,[],[f28484]) ).
cnf(s840,plain,
( ~ spl18_8
| spl18_202 ),
inference(sat_conversion,[],[f28496]) ).
cnf(s847,plain,
( ~ spl18_2
| ~ spl18_10
| spl18_27
| ~ spl18_42 ),
inference(sat_conversion,[],[f29238]) ).
cnf(s850,plain,
( ~ spl18_9
| ~ spl18_44 ),
inference(sat_conversion,[],[f29352]) ).
cnf(s874,plain,
( spl18_9
| spl18_10
| spl18_40 ),
inference(sat_conversion,[],[f30383]) ).
cnf(s895,plain,
( ~ spl18_2
| ~ spl18_26
| ~ spl18_42
| spl18_44
| ~ spl18_116
| ~ spl18_177 ),
inference(sat_conversion,[],[f32169]) ).
cnf(s938,plain,
( ~ spl18_15
| ~ spl18_19
| spl18_24 ),
inference(sat_conversion,[],[f32544]) ).
cnf(s959,plain,
( ~ spl18_21
| ~ spl18_24
| ~ spl18_102 ),
inference(sat_conversion,[],[f32725]) ).
cnf(s968,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_16
| ~ spl18_19
| ~ spl18_116 ),
inference(sat_conversion,[],[f33337]) ).
cnf(s974,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| ~ spl18_124
| spl18_176 ),
inference(sat_conversion,[],[f33347]) ).
cnf(s979,plain,
( spl18_115
| ~ spl18_116
| ~ spl18_177 ),
inference(sat_conversion,[],[f33435]) ).
cnf(s980,plain,
( spl18_23
| ~ spl18_29
| ~ spl18_176 ),
inference(sat_conversion,[],[f33779]) ).
cnf(s987,plain,
( ~ spl18_2
| spl18_36
| ~ spl18_42
| ~ spl18_43
| spl18_44 ),
inference(sat_conversion,[],[f34589]) ).
cnf(s997,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_8
| ~ spl18_14
| ~ spl18_19
| ~ spl18_116
| ~ spl18_117
| ~ spl18_157
| ~ spl18_173
| ~ spl18_176 ),
inference(sat_conversion,[],[f35000]) ).
cnf(s1024,plain,
( ~ spl18_2
| ~ spl18_14
| spl18_27
| spl18_28
| spl18_34
| ~ spl18_42
| spl18_44
| ~ spl18_116
| spl18_244 ),
inference(sat_conversion,[],[f35229]) ).
cnf(s1026,plain,
( ~ spl18_2
| ~ spl18_17
| ~ spl18_19
| ~ spl18_91
| ~ spl18_116
| ~ spl18_173
| ~ spl18_177
| ~ spl18_204
| ~ spl18_205
| ~ spl18_244 ),
inference(sat_conversion,[],[f36805]) ).
cnf(s1028,plain,
( ~ spl18_29
| spl18_70
| ~ spl18_177 ),
inference(sat_conversion,[],[f36830]) ).
cnf(s1029,plain,
( spl18_25
| ~ spl18_29
| ~ spl18_116 ),
inference(sat_conversion,[],[f36840]) ).
cnf(s1056,plain,
( ~ spl18_14
| ~ spl18_23
| ~ spl18_116
| spl18_157
| ~ spl18_176 ),
inference(sat_conversion,[],[f37330]) ).
cnf(s1068,plain,
( spl18_15
| spl18_16
| ~ spl18_17
| spl18_26
| spl18_30
| ~ spl18_32
| spl18_33
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116 ),
inference(sat_conversion,[],[f37443]) ).
cnf(s1069,plain,
( spl18_12
| spl18_13
| spl18_29 ),
inference(sat_conversion,[],[f37756]) ).
cnf(s1072,plain,
( ~ spl18_37
| spl18_40
| ~ spl18_45 ),
inference(sat_conversion,[],[f37770]) ).
cnf(s1073,plain,
( ~ spl18_13
| spl18_30
| ~ spl18_116 ),
inference(sat_conversion,[],[f38025]) ).
cnf(s1130,plain,
( ~ spl18_13
| ~ spl18_16
| spl18_17 ),
inference(sat_conversion,[],[f40288]) ).
cnf(s1136,plain,
( ~ spl18_2
| ~ spl18_13
| spl18_27
| ~ spl18_36 ),
inference(sat_conversion,[],[f40859]) ).
cnf(s1146,plain,
( ~ spl18_2
| spl18_264
| spl18_265 ),
inference(sat_conversion,[],[f41192]) ).
cnf(s1166,plain,
( ~ spl18_2
| ~ spl18_12
| ~ spl18_16
| spl18_27
| spl18_28
| spl18_39 ),
inference(sat_conversion,[],[f41538]) ).
cnf(s1177,plain,
( ~ spl18_39
| ~ spl18_264 ),
inference(sat_conversion,[],[f41614]) ).
cnf(s1178,plain,
( spl18_28
| ~ spl18_39
| ~ spl18_265 ),
inference(sat_conversion,[],[f41662]) ).
cnf(s1192,plain,
( spl18_15
| spl18_16
| ~ spl18_124
| spl18_125 ),
inference(sat_conversion,[],[f41694]) ).
cnf(s1195,plain,
( ~ spl18_19
| spl18_32
| ~ spl18_125 ),
inference(sat_conversion,[],[f41701]) ).
cnf(s1220,plain,
( ~ spl18_1
| ~ spl18_9
| ~ spl18_21
| ~ spl18_25
| ~ spl18_26
| ~ spl18_34
| ~ spl18_38
| ~ spl18_116
| ~ spl18_117
| spl18_177 ),
inference(sat_conversion,[],[f42473]) ).
cnf(s1225,plain,
( ~ spl18_2
| spl18_102 ),
inference(sat_conversion,[],[f43166]) ).
cnf(s1397,plain,
( spl18_276
| spl18_309 ),
inference(sat_conversion,[],[f52951]) ).
cnf(s1548,plain,
( spl18_12
| spl18_13
| ~ spl18_14
| ~ spl18_18
| ~ spl18_23
| ~ spl18_102
| ~ spl18_116
| ~ spl18_157
| ~ spl18_173
| ~ spl18_176
| ~ spl18_204
| ~ spl18_205 ),
inference(sat_conversion,[],[f55818]) ).
cnf(s1590,plain,
( ~ spl18_29
| ~ spl18_177
| ~ spl18_309 ),
inference(sat_conversion,[],[f55860]) ).
cnf(s1646,plain,
( ~ spl18_204
| ~ spl18_205
| spl18_381 ),
inference(sat_conversion,[],[f60366]) ).
cnf(s1709,plain,
( ~ spl18_276
| ~ spl18_396 ),
inference(sat_conversion,[],[f78692]) ).
cnf(s1825,plain,
( spl18_492
| spl18_493 ),
inference(sat_conversion,[],[f100351]) ).
cnf(s1840,plain,
~ spl18_492,
inference(sat_conversion,[],[f100762]) ).
cnf(s1846,plain,
( ~ spl18_493
| spl18_497
| spl18_498 ),
inference(sat_conversion,[],[f100915]) ).
cnf(s1848,plain,
( spl18_489
| ~ spl18_498 ),
inference(sat_conversion,[],[f101101]) ).
cnf(s1851,plain,
( spl18_487
| ~ spl18_498 ),
inference(sat_conversion,[],[f101107]) ).
cnf(s1852,plain,
( spl18_492
| ~ spl18_497 ),
inference(sat_conversion,[],[f101120]) ).
cnf(s2232,plain,
( spl18_27
| spl18_28
| spl18_42
| spl18_656 ),
inference(sat_conversion,[],[f146663]) ).
cnf(s2238,plain,
( spl18_27
| spl18_28
| spl18_42
| spl18_671 ),
inference(sat_conversion,[],[f146669]) ).
cnf(s2279,plain,
( ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| spl18_689 ),
inference(sat_conversion,[],[f154653]) ).
cnf(s2318,plain,
( ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| ~ spl18_110
| ~ spl18_689 ),
inference(sat_conversion,[],[f165795]) ).
cnf(s2389,plain,
( ~ spl18_3
| spl18_18
| spl18_19
| ~ spl18_20
| ~ spl18_40
| ~ spl18_45
| spl18_110
| ~ spl18_689 ),
inference(sat_conversion,[],[f165957]) ).
cnf(s2719,plain,
( ~ spl18_40
| ~ spl18_44
| ~ spl18_309 ),
inference(sat_conversion,[],[f174207]) ).
cnf(s2724,plain,
( ~ spl18_40
| ~ spl18_44
| spl18_91 ),
inference(sat_conversion,[],[f174214]) ).
cnf(s2744,plain,
( ~ spl18_2
| ~ spl18_42
| ~ spl18_44
| spl18_264 ),
inference(sat_conversion,[],[f174271]) ).
cnf(s2888,plain,
( spl18_1
| ~ spl18_807 ),
inference(sat_conversion,[],[f181189]) ).
cnf(s2995,plain,
( ~ spl18_20
| ~ spl18_37
| ~ spl18_44
| ~ spl18_91
| spl18_396
| spl18_807 ),
inference(sat_conversion,[],[f184553]) ).
cnf(s3124,plain,
( spl18_18
| spl18_19
| spl18_37 ),
inference(sat_conversion,[],[f187437]) ).
cnf(s3175,plain,
( ~ spl18_19
| ~ spl18_671
| spl18_871 ),
inference(sat_conversion,[],[f188372]) ).
cnf(s3178,plain,
( ~ spl18_19
| ~ spl18_656 ),
inference(sat_conversion,[],[f188412]) ).
cnf(s3195,plain,
~ spl18_871,
inference(sat_conversion,[],[f192172]) ).
cnf(s3380,plain,
( ~ spl18_19
| ~ spl18_487
| ~ spl18_489
| ~ spl18_808 ),
inference(sat_conversion,[],[f204567]) ).
cnf(s3469,plain,
( ~ spl18_17
| ~ spl18_23
| ~ spl18_177
| spl18_896 ),
inference(sat_conversion,[],[f223306]) ).
cnf(s4550,plain,
( ~ spl18_23
| ~ spl18_70
| ~ spl18_91
| spl18_124
| ~ spl18_131
| spl18_309
| ~ spl18_381 ),
inference(sat_conversion,[],[f305132]) ).
cnf(s4563,plain,
( ~ spl18_70
| spl18_131
| ~ spl18_276
| spl18_309
| ~ spl18_381
| spl18_674
| spl18_675 ),
inference(sat_conversion,[],[f305159]) ).
cnf(s4799,plain,
( ~ spl18_2
| ~ spl18_19
| ~ spl18_23
| spl18_49
| ~ spl18_91
| ~ spl18_116
| spl18_124
| ~ spl18_177
| ~ spl18_264
| ~ spl18_276
| ~ spl18_487
| ~ spl18_489 ),
inference(sat_conversion,[],[f314753]) ).
cnf(s4856,plain,
( ~ spl18_18
| spl18_27
| ~ spl18_675 ),
inference(sat_conversion,[],[f316909]) ).
cnf(s4857,plain,
( ~ spl18_18
| spl18_28
| ~ spl18_674 ),
inference(sat_conversion,[],[f317070]) ).
cnf(s4901,plain,
( ~ spl18_2
| ~ spl18_16
| ~ spl18_42
| ~ spl18_44
| spl18_177 ),
inference(sat_conversion,[],[f319031]) ).
cnf(s4908,plain,
( ~ spl18_42
| ~ spl18_43
| ~ spl18_44
| spl18_177 ),
inference(sat_conversion,[],[f319120]) ).
cnf(s5108,plain,
( ~ spl18_16
| ~ spl18_896 ),
inference(sat_conversion,[],[f323215]) ).
cnf(s5267,plain,
( ~ spl18_2
| ~ spl18_36
| ~ spl18_42
| spl18_44
| ~ spl18_115 ),
inference(sat_conversion,[],[f329573]) ).
cnf(s5723,plain,
( ~ spl18_1
| spl18_31
| ~ spl18_102 ),
inference(sat_conversion,[],[f343549]) ).
cnf(s5724,plain,
( ~ spl18_9
| spl18_31
| ~ spl18_33 ),
inference(sat_conversion,[],[f343555]) ).
cnf(s5737,plain,
( ~ spl18_12
| ~ spl18_33
| spl18_116 ),
inference(sat_conversion,[],[f343572]) ).
cnf(s6011,plain,
( ~ spl18_30
| ~ spl18_33 ),
inference(sat_conversion,[],[f346222]) ).
cnf(s6052,plain,
( ~ spl18_26
| ~ spl18_30
| spl18_154 ),
inference(sat_conversion,[],[f347415]) ).
cnf(s6069,plain,
( ~ spl18_26
| ~ spl18_30
| ~ spl18_31 ),
inference(sat_conversion,[],[f349443]) ).
cnf(s6321,plain,
( ~ spl18_16
| ~ spl18_19
| ~ spl18_21
| ~ spl18_101 ),
inference(sat_conversion,[],[f354562]) ).
cnf(s6416,plain,
( ~ spl18_8
| ~ spl18_22
| ~ spl18_104
| spl18_712 ),
inference(sat_conversion,[],[f356407]) ).
cnf(s6430,plain,
( ~ spl18_19
| ~ spl18_712
| spl18_808 ),
inference(sat_conversion,[],[f356976]) ).
cnf(s6620,plain,
( ~ spl18_19
| ~ spl18_671 ),
inference(rat,[],[s3175,s3195]) ).
cnf(s6649,plain,
~ spl18_497,
inference(rat,[],[s1852,s1840]) ).
cnf(s6651,plain,
spl18_493,
inference(rat,[],[s1825,s1840]) ).
cnf(s6652,plain,
spl18_498,
inference(rat,[],[s1846,s6649,s6651]) ).
cnf(s6653,plain,
spl18_487,
inference(rat,[],[s1851,s6652]) ).
cnf(s6655,plain,
spl18_489,
inference(rat,[],[s1848,s6652]) ).
cnf(s6696,plain,
( ~ spl18_16
| ~ spl18_19
| ~ spl18_28 ),
inference(rat,[],[s184,s193]) ).
cnf(s6727,plain,
~ spl18_7,
inference(rat,[],[s122,s825]) ).
cnf(s6731,plain,
spl18_8,
inference(rat,[],[s5,s6727,s825]) ).
cnf(s6733,plain,
spl18_202,
inference(rat,[],[s840,s6731]) ).
cnf(s6734,plain,
spl18_203,
inference(rat,[],[s837,s6731]) ).
cnf(s6737,plain,
~ spl18_47,
inference(rat,[],[s126,s6731]) ).
cnf(s6739,plain,
spl18_205,
inference(rat,[],[s755,s6734]) ).
cnf(s6740,plain,
spl18_204,
inference(rat,[],[s754,s6733,s6734]) ).
cnf(s6743,plain,
spl18_3,
inference(rat,[],[s800,s6737]) ).
cnf(s6746,plain,
spl18_381,
inference(rat,[],[s1646,s6739,s6740]) ).
cnf(s6752,plain,
( ~ spl18_689
| ~ spl18_45
| spl18_18
| ~ spl18_40
| spl18_19
| ~ spl18_20 ),
inference(rat,[],[s2318,s2389,s6743]) ).
cnf(s6753,plain,
( ~ spl18_45
| ~ spl18_20
| ~ spl18_2
| spl18_9
| spl18_10
| spl18_18
| ~ spl18_40
| spl18_19 ),
inference(rat,[],[s6752,s2279]) ).
cnf(s6754,plain,
( spl18_19
| spl18_18
| spl18_10
| spl18_9
| spl18_1 ),
inference(rat,[],[s1709,s1397,s2995,s2719,s2724,s77,s6753,s15,s3124,s2888,s4,s874]) ).
cnf(s6755,plain,
( spl18_23
| ~ spl18_38
| ~ spl18_19
| ~ spl18_29 ),
inference(rat,[],[s686,s38,s980]) ).
cnf(s6756,plain,
( spl18_116
| ~ spl18_32
| ~ spl18_38
| spl18_16
| spl18_15
| ~ spl18_120
| ~ spl18_14 ),
inference(rat,[],[s520,s281,s14]) ).
cnf(s6757,plain,
( ~ spl18_32
| ~ spl18_19
| spl18_16
| spl18_15
| ~ spl18_120
| ~ spl18_14
| ~ spl18_29
| ~ spl18_2 ),
inference(rat,[],[s753,s752,s997,s1056,s1029,s275,s6756,s686,s216,s498,s1225,s18,s744,s6755,s648,s14,s6731,s6743]) ).
cnf(s6758,plain,
( spl18_116
| ~ spl18_177
| ~ spl18_14 ),
inference(rat,[],[s612,s281]) ).
cnf(s6759,plain,
( ~ spl18_19
| spl18_16
| spl18_15
| ~ spl18_120
| ~ spl18_14
| ~ spl18_29
| ~ spl18_2 ),
inference(rat,[],[s543,s1024,s895,s2744,s4799,s1026,s753,s752,s1029,s275,s6758,s709,s1397,s1028,s1590,s1192,s607,s1195,s6757,s6755,s2232,s648,s3178,s74,s69,s216,s498,s1225,s18,s744,s14,s156,s6653,s6655,s6740,s6739,s6731]) ).
cnf(s6760,plain,
( spl18_32
| ~ spl18_38
| ~ spl18_23
| spl18_675
| spl18_674
| spl18_16
| spl18_15
| ~ spl18_29 ),
inference(rat,[],[s4563,s4550,s709,s1397,s1028,s1590,s974,s607,s610,s14,s6746]) ).
cnf(s6761,plain,
( spl18_16
| spl18_15
| spl18_13
| spl18_12
| spl18_10
| spl18_9
| spl18_1 ),
inference(rat,[],[s753,s1548,s752,s1056,s1029,s6756,s686,s6760,s605,s22,s580,s4856,s4857,s6754,s6759,s14,s74,s69,s216,s498,s959,s18,s744,s1225,s4,s1069,s282,s13,s6740,s6739,s6731]) ).
cnf(s6762,plain,
( ~ spl18_16
| ~ spl18_14
| spl18_13
| spl18_10
| spl18_9
| spl18_1 ),
inference(rat,[],[s5267,s4901,s6758,s281,s2232,s968,s3178,s6754,s48,s89,s456,s74,s69,s959,s18,s744,s1225,s4,s6731,s6743]) ).
cnf(s6763,plain,
( ~ spl18_15
| spl18_10
| spl18_9
| spl18_1 ),
inference(rat,[],[s6754,s384,s938,s959,s18,s744,s1225,s4]) ).
cnf(s6764,plain,
( spl18_13
| spl18_12
| spl18_10
| spl18_9
| spl18_1 ),
inference(rat,[],[s6762,s6761,s13,s6763]) ).
cnf(s6765,plain,
( spl18_16
| ~ spl18_13
| spl18_15 ),
inference(rat,[],[s511,s14]) ).
cnf(s6766,plain,
( ~ spl18_42
| spl18_177
| ~ spl18_43
| spl18_36
| ~ spl18_2 ),
inference(rat,[],[s4908,s987]) ).
cnf(s6767,plain,
( ~ spl18_13
| spl18_10
| spl18_9
| spl18_1 ),
inference(rat,[],[s6620,s6754,s2238,s89,s6766,s3469,s66,s1130,s5108,s6765,s48,s1136,s74,s69,s959,s18,s744,s1225,s4,s6763]) ).
cnf(s6768,plain,
( ~ spl18_39
| ~ spl18_2 ),
inference(rat,[],[s1146,s1177,s1178,s74]) ).
cnf(s6769,plain,
( spl18_10
| spl18_16
| spl18_13
| spl18_9
| spl18_1 ),
inference(rat,[],[s383,s14,s6764,s6763]) ).
cnf(s6770,plain,
( ~ spl18_10
| ~ spl18_2 ),
inference(rat,[],[s15,s77,s580,s1072,s6620,s62,s2238,s206,s337,s847,s74,s69]) ).
cnf(s6771,plain,
( spl18_13
| spl18_9
| spl18_1 ),
inference(rat,[],[s1166,s6769,s6764,s74,s69,s6768,s6770,s4]) ).
cnf(s6772,plain,
( spl18_9
| spl18_1 ),
inference(rat,[],[s6767,s6771,s6770,s4]) ).
cnf(s6773,plain,
spl18_1,
inference(rat,[],[s15,s77,s580,s634,s1072,s52,s93,s850,s6772,s6768,s69,s74,s4]) ).
cnf(s6775,plain,
( ~ spl18_19
| spl18_9 ),
inference(rat,[],[s64,s266,s364,s6773]) ).
cnf(s6777,plain,
( spl18_44
| spl18_18
| spl18_10
| spl18_9 ),
inference(rat,[],[s16,s271,s258,s77,s12,s15,s6775,s6773]) ).
cnf(s6779,plain,
( spl18_18
| spl18_10
| spl18_9 ),
inference(rat,[],[s354,s18,s237,s6777,s15,s6775,s12,s6773]) ).
cnf(s6780,plain,
( spl18_10
| spl18_9 ),
inference(rat,[],[s64,s103,s365,s6779,s6773]) ).
cnf(s6781,plain,
( ~ spl18_177
| ~ spl18_38
| spl18_33
| ~ spl18_14
| ~ spl18_10
| spl18_13 ),
inference(rat,[],[s618,s58,s18,s441,s427,s668,s979,s6758,s337,s6773]) ).
cnf(s6782,plain,
( spl18_12
| spl18_9
| spl18_13 ),
inference(rat,[],[s741,s739,s18,s1068,s547,s560,s568,s58,s441,s1029,s427,s275,s276,s6756,s607,s6781,s605,s282,s475,s14,s13,s1069,s67,s337,s580,s415,s64,s103,s15,s77,s206,s280,s6780,s6775,s6773]) ).
cnf(s6783,plain,
( ~ spl18_24
| ~ spl18_31 ),
inference(rat,[],[s16,s104,s106,s6773]) ).
cnf(s6784,plain,
( spl18_9
| spl18_13 ),
inference(rat,[],[s6783,s36,s89,s454,s14,s68,s383,s6782,s415,s64,s103,s15,s77,s206,s280,s6780,s6775,s6773]) ).
cnf(s6785,plain,
( ~ spl18_177
| ~ spl18_21
| ~ spl18_38
| spl18_12
| spl18_13 ),
inference(rat,[],[s58,s616,s427,s668,s979,s6758,s93,s6784,s475,s13,s6773]) ).
cnf(s6786,plain,
( ~ spl18_21
| ~ spl18_38
| spl18_15
| spl18_16
| spl18_12
| spl18_13 ),
inference(rat,[],[s1068,s1220,s58,s1029,s427,s275,s6756,s607,s6785,s93,s6784,s1069,s475,s282,s13,s14,s6773]) ).
cnf(s6787,plain,
( ~ spl18_19
| spl18_15
| spl18_16
| spl18_12
| spl18_13 ),
inference(rat,[],[s543,s58,s741,s1029,s427,s275,s276,s6756,s733,s607,s6416,s668,s18,s6786,s6430,s648,s3380,s93,s6784,s1069,s475,s282,s13,s14,s6773,s6731,s6655,s6653]) ).
cnf(s6788,plain,
( spl18_18
| spl18_19
| ~ spl18_9 ),
inference(rat,[],[s77,s15,s84,s850]) ).
cnf(s6789,plain,
( spl18_15
| spl18_16
| spl18_12
| spl18_13 ),
inference(rat,[],[s740,s741,s1068,s58,s1029,s427,s276,s6756,s607,s668,s18,s6786,s605,s580,s6788,s6787,s14,s93,s6784,s1069,s475,s282,s13,s6773]) ).
cnf(s6790,plain,
( ~ spl18_15
| spl18_12
| spl18_13 ),
inference(rat,[],[s64,s279,s415,s6773]) ).
cnf(s6791,plain,
( ~ spl18_16
| spl18_12 ),
inference(rat,[],[s64,s67,s72,s6773]) ).
cnf(s6792,plain,
( spl18_15
| spl18_12
| spl18_13 ),
inference(rat,[],[s6791,s6789]) ).
cnf(s6793,plain,
( spl18_12
| spl18_13 ),
inference(rat,[],[s6792,s6790]) ).
cnf(s6794,plain,
( spl18_15
| spl18_16
| ~ spl18_12 ),
inference(rat,[],[s14,s383]) ).
cnf(s6795,plain,
( ~ spl18_15
| spl18_13 ),
inference(rat,[],[s6788,s938,s384,s6783,s5724,s71,s64,s415,s6784,s6793,s6773]) ).
cnf(s6796,plain,
( ~ spl18_27
| spl18_13 ),
inference(rat,[],[s16,s6321,s6416,s700,s692,s5723,s6052,s6069,s6430,s26,s3380,s454,s6788,s68,s365,s632,s6784,s6794,s6795,s6793,s6731,s6773,s6655,s6653]) ).
cnf(s6797,plain,
spl18_13,
inference(rat,[],[s22,s6783,s6788,s5724,s6696,s71,s64,s6796,s456,s6794,s6795,s6793,s6784,s6773]) ).
cnf(s6800,plain,
( spl18_9
| spl18_12 ),
inference(rat,[],[s384,s15,s6783,s77,s36,s206,s280,s6780,s6775,s121,s371,s64,s279,s6765,s6791,s6797,s6773]) ).
cnf(s6801,plain,
( ~ spl18_15
| spl18_12 ),
inference(rat,[],[s938,s6788,s6783,s365,s5724,s632,s6800,s371,s64,s279,s6773,s6797]) ).
cnf(s6802,plain,
spl18_12,
inference(rat,[],[s6801,s6765,s6791,s6797]) ).
cnf(s6829,plain,
~ spl18_27,
inference(rat,[],[s6011,s68,s371,s6802,s6797]) ).
cnf(s6830,plain,
spl18_28,
inference(rat,[],[s64,s6773,s6829]) ).
cnf(s6833,plain,
spl18_33,
inference(rat,[],[s71,s6802,s6830]) ).
cnf(s6834,plain,
~ spl18_30,
inference(rat,[],[s70,s6802,s6830]) ).
cnf(s6836,plain,
spl18_116,
inference(rat,[],[s5737,s6802,s6833]) ).
cnf(s6840,plain,
$false,
inference(rat,[],[s1073,s6797,s6836,s6834]) ).
fof(f359451,plain,
$false,
inference(avatar_sat_refutation,[],[s6840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW098+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n008.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 13:12:54 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.47/3.35 % (2241616)Detected formulas, will run a generic FOF schedule.
% 17.47/3.35 % (2241624)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=830818124:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.47/3.35 % (2241622)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3154418784:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.47/3.35 % (2241625)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2338268407:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.47/3.35 % (2241628)dis-21_1_sil=8000:lcm=predicate:random_seed=1201047971:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 17.47/3.35 % (2241627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3453785293:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.47/3.35 % (2241626)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3952146235:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.47/3.35 % (2241623)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1475144000:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.47/3.35 % (2241625)Refutation not found, incomplete strategy
% 17.47/3.35 % (2241625)------------------------------
% 17.47/3.35 % (2241625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.35 % (2241625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.35 % (2241625)CaDiCaL version: 2.1.3
% 17.47/3.35 % (2241625)Termination reason: Refutation not found, incomplete strategy
% 17.47/3.35 % (2241625)Time elapsed: 0.003 s
% 17.47/3.35 % (2241625)Peak memory usage: 88 MB
% 17.47/3.35 % (2241625)Instructions burned: 1 (million)
% 17.47/3.35 % (2241628)Refutation not found, incomplete strategy
% 17.47/3.35 % (2241628)------------------------------
% 17.47/3.35 % (2241628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.35 % (2241628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.35 % (2241628)CaDiCaL version: 2.1.3
% 17.47/3.35 % (2241628)Termination reason: Refutation not found, incomplete strategy
% 17.47/3.35 % (2241628)Time elapsed: 0.006 s
% 17.47/3.35 % (2241628)Peak memory usage: 88 MB
% 17.47/3.35 % (2241628)Instructions burned: 5 (million)
% 17.47/3.35 % (2241626)Instruction limit reached!
% 17.47/3.35 % (2241626)------------------------------
% 17.47/3.35 % (2241626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.35 % (2241626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.35 % (2241626)CaDiCaL version: 2.1.3
% 17.47/3.35 % (2241626)Termination reason: Instruction limit
% 17.47/3.35 % (2241626)Termination phase: Saturation
% 17.47/3.35 % (2241626)Time elapsed: 0.107 s
% 17.47/3.35 % (2241626)Peak memory usage: 88 MB
% 17.47/3.35 % (2241626)Instructions burned: 119 (million)
% 17.47/3.35 % (2241627)Instruction limit reached!
% 17.47/3.35 % (2241627)------------------------------
% 17.47/3.35 % (2241627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.35 % (2241627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.35 % (2241627)CaDiCaL version: 2.1.3
% 17.47/3.35 % (2241627)Termination reason: Instruction limit
% 17.47/3.35 % (2241627)Termination phase: Saturation
% 17.47/3.35 % (2241627)Time elapsed: 0.147 s
% 17.47/3.35 % (2241627)Peak memory usage: 90 MB
% 17.47/3.35 % (2241627)Instructions burned: 139 (million)
% 17.47/3.35 % (2241628)------------------------------
% 17.47/3.35 % (2241628)------------------------------
% 17.47/3.35 % (2241637)lrs+10_1_sil=8000:sp=occurrence:random_seed=1402621759:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 17.47/3.35 % (2241625)------------------------------
% 17.47/3.35 % (2241625)------------------------------
% 17.47/3.35 % (2241638)lrs+10_1_sil=32000:urr=on:br=off:random_seed=926615549:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 17.47/3.35 % (2241638)Refutation not found, incomplete strategy
% 17.47/3.35 % (2241638)------------------------------
% 17.47/3.35 % (2241638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.35 % (2241638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.12 % (2241638)CaDiCaL version: 2.1.3
% 22.86/4.12 % (2241638)Termination reason: Refutation not found, incomplete strategy
% 22.86/4.12 % (2241638)Time elapsed: 0.002 s
% 22.86/4.12 % (2241638)Peak memory usage: 88 MB
% 22.86/4.12 % (2241638)Instructions burned: 1 (million)
% 22.86/4.12 % (2241624)Refutation not found, incomplete strategy
% 22.86/4.12 % (2241624)------------------------------
% 22.86/4.12 % (2241624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.12 % (2241624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.12 % (2241624)CaDiCaL version: 2.1.3
% 22.86/4.12 % (2241624)Termination reason: Refutation not found, incomplete strategy
% 22.86/4.12 % (2241624)Time elapsed: 0.557 s
% 22.86/4.12 % (2241624)Peak memory usage: 128 MB
% 22.86/4.12 % (2241624)Instructions burned: 888 (million)
% 22.86/4.12 % (2241637)Instruction limit reached!
% 22.86/4.12 % (2241637)------------------------------
% 22.86/4.12 % (2241637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.12 % (2241637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.12 % (2241637)CaDiCaL version: 2.1.3
% 22.86/4.12 % (2241637)Termination reason: Instruction limit
% 22.86/4.12 % (2241637)Termination phase: Saturation
% 22.86/4.12 % (2241637)Time elapsed: 0.263 s
% 22.86/4.12 % (2241637)Peak memory usage: 91 MB
% 22.86/4.12 % (2241637)Instructions burned: 285 (million)
% 22.86/4.12 % (2241642)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2964529461:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 22.86/4.12 % (2241642)Refutation not found, incomplete strategy
% 22.86/4.12 % (2241642)------------------------------
% 22.86/4.12 % (2241642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.12 % (2241642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.12 % (2241642)CaDiCaL version: 2.1.3
% 22.86/4.12 % (2241642)Termination reason: Refutation not found, incomplete strategy
% 22.86/4.12 % (2241642)Time elapsed: 0.002 s
% 22.86/4.12 % (2241642)Peak memory usage: 88 MB
% 22.86/4.12 % (2241624)------------------------------
% 22.86/4.12 % (2241624)------------------------------
% 22.86/4.12 % (2241643)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3539883688:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 22.86/4.12 % (2241638)------------------------------
% 22.86/4.12 % (2241638)------------------------------
% 22.86/4.12 % (2241651)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1704690744:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 22.86/4.12 % (2241648)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2864881455:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 22.86/4.12 % (2241643)Instruction limit reached!
% 22.86/4.12 % (2241643)------------------------------
% 22.86/4.12 % (2241643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.12 % (2241643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.12 % (2241643)CaDiCaL version: 2.1.3
% 22.86/4.12 % (2241643)Termination reason: Instruction limit
% 22.86/4.12 % (2241643)Termination phase: Saturation
% 22.86/4.12 % (2241643)Time elapsed: 0.258 s
% 22.86/4.12 % (2241643)Peak memory usage: 92 MB
% 22.86/4.12 % (2241643)Instructions burned: 248 (million)
% 22.86/4.12 % (2241652)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2368845086:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 22.86/4.12 % (2241642)------------------------------
% 22.86/4.12 % (2241642)------------------------------
% 22.86/4.12 % (2241652)Refutation not found, incomplete strategy
% 22.86/4.12 % (2241652)------------------------------
% 22.86/4.12 % (2241652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.12 % (2241652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.12 % (2241652)CaDiCaL version: 2.1.3
% 22.86/4.12 % (2241652)Termination reason: Refutation not found, incomplete strategy
% 22.86/4.12 % (2241652)Time elapsed: 0.086 s
% 22.86/4.12 % (2241652)Peak memory usage: 89 MB
% 22.86/4.12 % (2241652)Instructions burned: 81 (million)
% 22.86/4.12 % (2241655)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1892402043:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 22.86/4.12 % (2241655)Refutation not found, incomplete strategy
% 40.57/6.65 % (2241655)------------------------------
% 40.57/6.65 % (2241655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.57/6.65 % (2241655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.65 % (2241655)CaDiCaL version: 2.1.3
% 40.57/6.65 % (2241655)Termination reason: Refutation not found, incomplete strategy
% 40.57/6.65 % (2241655)Time elapsed: 0.004 s
% 40.57/6.65 % (2241655)Peak memory usage: 88 MB
% 40.57/6.65 % (2241655)Instructions burned: 2 (million)
% 40.57/6.65 % (2241648)Instruction limit reached!
% 40.57/6.65 % (2241648)------------------------------
% 40.57/6.65 % (2241648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.57/6.65 % (2241648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.65 % (2241648)CaDiCaL version: 2.1.3
% 40.57/6.65 % (2241648)Termination reason: Instruction limit
% 40.57/6.65 % (2241648)Termination phase: Saturation
% 40.57/6.65 % (2241648)Time elapsed: 0.307 s
% 40.57/6.65 % (2241648)Peak memory usage: 91 MB
% 40.57/6.65 % (2241648)Instructions burned: 296 (million)
% 40.57/6.65 % (2241657)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=298689287:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 40.57/6.65 % (2241657)Instruction limit reached!
% 40.57/6.65 % (2241657)------------------------------
% 40.57/6.65 % (2241657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.57/6.65 % (2241657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.65 % (2241657)CaDiCaL version: 2.1.3
% 40.57/6.65 % (2241657)Termination reason: Instruction limit
% 40.57/6.65 % (2241657)Termination phase: Saturation
% 40.57/6.65 % (2241657)Time elapsed: 0.101 s
% 40.57/6.65 % (2241657)Peak memory usage: 88 MB
% 40.57/6.65 % (2241657)Instructions burned: 114 (million)
% 40.57/6.65 % (2241659)lrs+10_1_sil=8000:sp=occurrence:random_seed=36915441:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 40.57/6.65 % (2241652)------------------------------
% 40.57/6.65 % (2241652)------------------------------
% 40.57/6.65 % (2241655)------------------------------
% 40.57/6.65 % (2241655)------------------------------
% 40.57/6.65 % (2241661)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1807151037:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 40.57/6.65 % (2241661)Refutation not found, incomplete strategy
% 40.57/6.65 % (2241661)------------------------------
% 40.57/6.65 % (2241661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.57/6.65 % (2241661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.65 % (2241661)CaDiCaL version: 2.1.3
% 40.57/6.65 % (2241661)Termination reason: Refutation not found, incomplete strategy
% 40.57/6.65 % (2241661)Time elapsed: 0.002 s
% 40.57/6.65 % (2241661)Peak memory usage: 88 MB
% 40.57/6.65 % (2241663)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1610139486:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 40.57/6.65 % (2241664)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3220675635:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 40.57/6.65 % (2241664)Refutation not found, incomplete strategy
% 40.57/6.65 % (2241664)------------------------------
% 40.57/6.65 % (2241664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.57/6.65 % (2241664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.65 % (2241664)CaDiCaL version: 2.1.3
% 40.57/6.65 % (2241664)Termination reason: Refutation not found, incomplete strategy
% 40.57/6.65 % (2241664)Time elapsed: 0.003 s
% 40.57/6.65 % (2241664)Peak memory usage: 89 MB
% 40.57/6.65 % (2241664)Instructions burned: 1 (million)
% 40.57/6.65 % (2241661)------------------------------
% 40.57/6.65 % (2241661)------------------------------
% 40.57/6.65 % (2241651)Instruction limit reached!
% 40.57/6.65 % (2241651)------------------------------
% 40.57/6.65 % (2241651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.57/6.65 % (2241651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.65 % (2241651)CaDiCaL version: 2.1.3
% 40.57/6.65 % (2241651)Termination reason: Instruction limit
% 40.57/6.65 % (2241651)Termination phase: Saturation
% 40.57/6.65 % (2241651)Time elapsed: 1.296 s
% 40.57/6.65 % (2241651)Peak memory usage: 140 MB
% 40.57/6.65 % (2241651)Instructions burned: 2351 (million)
% 62.64/9.77 % (2241659)Instruction limit reached!
% 62.64/9.77 % (2241659)------------------------------
% 62.64/9.77 % (2241659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.64/9.77 % (2241659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.64/9.77 % (2241659)CaDiCaL version: 2.1.3
% 62.64/9.77 % (2241659)Termination reason: Instruction limit
% 62.64/9.77 % (2241659)Termination phase: Saturation
% 62.64/9.77 % (2241659)Time elapsed: 0.730 s
% 62.64/9.77 % (2241659)Peak memory usage: 96 MB
% 62.64/9.77 % (2241659)Instructions burned: 907 (million)
% 62.64/9.77 % (2241664)------------------------------
% 62.64/9.77 % (2241664)------------------------------
% 62.64/9.77 % (2241672)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1890198386:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 62.64/9.77 % (2241673)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1162869113:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 62.64/9.77 % (2241674)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3651046038:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 62.64/9.77 % (2241674)Instruction limit reached!
% 62.64/9.77 % (2241674)------------------------------
% 62.64/9.77 % (2241674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.64/9.77 % (2241674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.64/9.77 % (2241674)CaDiCaL version: 2.1.3
% 62.64/9.77 % (2241674)Termination reason: Instruction limit
% 62.64/9.77 % (2241674)Termination phase: Saturation
% 62.64/9.77 % (2241674)Time elapsed: 0.140 s
% 62.64/9.77 % (2241674)Peak memory usage: 91 MB
% 62.64/9.77 % (2241674)Instructions burned: 126 (million)
% 62.64/9.77 % (2241675)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2458159270:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 62.64/9.77 % (2241675)Instruction limit reached!
% 62.64/9.77 % (2241675)------------------------------
% 62.64/9.77 % (2241675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.64/9.77 % (2241675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.64/9.77 % (2241675)CaDiCaL version: 2.1.3
% 62.64/9.77 % (2241675)Termination reason: Instruction limit
% 62.64/9.77 % (2241675)Termination phase: Saturation
% 62.64/9.77 % (2241675)Time elapsed: 0.129 s
% 62.64/9.77 % (2241675)Peak memory usage: 89 MB
% 62.64/9.77 % (2241675)Instructions burned: 134 (million)
% 62.64/9.77 % (2241680)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2143063818:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 62.64/9.77 % (2241680)Refutation not found, incomplete strategy
% 62.64/9.77 % (2241680)------------------------------
% 62.64/9.77 % (2241680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.64/9.77 % (2241680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.64/9.77 % (2241680)CaDiCaL version: 2.1.3
% 62.64/9.77 % (2241680)Termination reason: Refutation not found, incomplete strategy
% 62.64/9.77 % (2241680)Time elapsed: 0.002 s
% 62.64/9.77 % (2241680)Peak memory usage: 88 MB
% 62.64/9.77 % (2241683)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1140116274:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 62.64/9.77 % (2241683)Refutation not found, incomplete strategy
% 62.64/9.77 % (2241683)------------------------------
% 62.64/9.77 % (2241683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.64/9.77 % (2241683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.64/9.77 % (2241683)CaDiCaL version: 2.1.3
% 62.64/9.77 % (2241683)Termination reason: Refutation not found, incomplete strategy
% 62.64/9.77 % (2241683)Time elapsed: 0.003 s
% 62.64/9.77 % (2241683)Peak memory usage: 88 MB
% 62.64/9.77 % (2241683)Instructions burned: 3 (million)
% 62.64/9.77 % (2241672)Instruction limit reached!
% 62.64/9.77 % (2241672)------------------------------
% 62.64/9.77 % (2241672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.64/9.77 % (2241672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.64/9.77 % (2241672)CaDiCaL version: 2.1.3
% 62.64/9.77 % (2241672)Termination reason: Instruction limit
% 62.64/9.77 % (2241672)Termination phase: Saturation
% 91.79/13.84 % (2241672)Time elapsed: 0.582 s
% 91.79/13.84 % (2241672)Peak memory usage: 96 MB
% 91.79/13.84 % (2241672)Instructions burned: 593 (million)
% 91.79/13.84 % (2241680)------------------------------
% 91.79/13.84 % (2241680)------------------------------
% 91.79/13.84 % (2241686)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1399128101:i=6060:aac=none:ins=25_2967 on theBenchmark for (2967ds/6060Mi)
% 91.79/13.84 % (2241683)------------------------------
% 91.79/13.84 % (2241683)------------------------------
% 91.79/13.84 % (2241690)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1744863395:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2965 on theBenchmark for (2965ds/150Mi)
% 91.79/13.84 % (2241696)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3918715861:i=14155:bd=all_2964 on theBenchmark for (2964ds/14155Mi)
% 91.79/13.84 % (2241690)Instruction limit reached!
% 91.79/13.84 % (2241690)------------------------------
% 91.79/13.84 % (2241690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.79/13.84 % (2241690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.79/13.84 % (2241690)CaDiCaL version: 2.1.3
% 91.79/13.84 % (2241690)Termination reason: Instruction limit
% 91.79/13.84 % (2241690)Termination phase: Saturation
% 91.79/13.84 % (2241690)Time elapsed: 0.149 s
% 91.79/13.84 % (2241690)Peak memory usage: 90 MB
% 91.79/13.84 % (2241690)Instructions burned: 150 (million)
% 91.79/13.84 % (2241700)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1782504501:i=667:av=off:fsr=off_2960 on theBenchmark for (2960ds/667Mi)
% 91.79/13.84 % (2241700)Refutation not found, incomplete strategy
% 91.79/13.84 % (2241700)------------------------------
% 91.79/13.84 % (2241700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.79/13.84 % (2241700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.79/13.84 % (2241700)CaDiCaL version: 2.1.3
% 91.79/13.84 % (2241700)Termination reason: Refutation not found, incomplete strategy
% 91.79/13.84 % (2241700)Time elapsed: 0.005 s
% 91.79/13.84 % (2241700)Peak memory usage: 88 MB
% 91.79/13.84 % (2241700)Instructions burned: 3 (million)
% 91.79/13.84 % (2241700)------------------------------
% 91.79/13.84 % (2241700)------------------------------
% 91.79/13.84 % (2241704)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3182121232:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 91.79/13.84 % (2241704)Instruction limit reached!
% 91.79/13.84 % (2241704)------------------------------
% 91.79/13.84 % (2241704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.79/13.84 % (2241704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.79/13.84 % (2241704)CaDiCaL version: 2.1.3
% 91.79/13.84 % (2241704)Termination reason: Instruction limit
% 91.79/13.84 % (2241704)Termination phase: Saturation
% 91.79/13.84 % (2241704)Time elapsed: 0.170 s
% 91.79/13.84 % (2241704)Peak memory usage: 92 MB
% 91.79/13.84 % (2241704)Instructions burned: 186 (million)
% 91.79/13.84 % (2241707)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=939918622:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2949 on theBenchmark for (2949ds/193Mi)
% 91.79/13.84 % (2241707)Instruction limit reached!
% 91.79/13.84 % (2241707)------------------------------
% 91.79/13.84 % (2241707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.79/13.84 % (2241707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.79/13.84 % (2241707)CaDiCaL version: 2.1.3
% 91.79/13.84 % (2241707)Termination reason: Instruction limit
% 91.79/13.84 % (2241707)Termination phase: Saturation
% 91.79/13.84 % (2241707)Time elapsed: 0.206 s
% 91.79/13.84 % (2241707)Peak memory usage: 90 MB
% 91.79/13.84 % (2241707)Instructions burned: 194 (million)
% 91.79/13.84 % (2241712)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1058760250:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2945 on theBenchmark for (2945ds/4850Mi)
% 91.79/13.84 % (2241712)Refutation not found, incomplete strategy
% 91.79/13.84 % (2241712)------------------------------
% 91.79/13.84 % (2241712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 121.64/18.31 % (2241712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.64/18.31 % (2241712)CaDiCaL version: 2.1.3
% 121.64/18.31 % (2241712)Termination reason: Refutation not found, incomplete strategy
% 121.64/18.31 % (2241712)Time elapsed: 0.004 s
% 121.64/18.31 % (2241712)Peak memory usage: 88 MB
% 121.64/18.31 % (2241712)Instructions burned: 2 (million)
% 121.64/18.31 % (2241712)------------------------------
% 121.64/18.31 % (2241712)------------------------------
% 121.64/18.31 % (2241715)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1475185285:i=12111:sd=1:ss=included_2938 on theBenchmark for (2938ds/12111Mi)
% 121.64/18.31 % (2241715)Refutation not found, incomplete strategy
% 121.64/18.31 % (2241715)------------------------------
% 121.64/18.31 % (2241715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 121.64/18.31 % (2241715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.64/18.31 % (2241715)CaDiCaL version: 2.1.3
% 121.64/18.31 % (2241715)Termination reason: Refutation not found, incomplete strategy
% 121.64/18.31 % (2241715)Time elapsed: 0.875 s
% 121.64/18.31 % (2241715)Peak memory usage: 128 MB
% 121.64/18.31 % (2241715)Instructions burned: 858 (million)
% 121.64/18.31 % (2241663)Instruction limit reached!
% 121.64/18.31 % (2241663)------------------------------
% 121.64/18.31 % (2241663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 121.64/18.31 % (2241663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.64/18.31 % (2241663)CaDiCaL version: 2.1.3
% 121.64/18.31 % (2241663)Termination reason: Instruction limit
% 121.64/18.31 % (2241663)Termination phase: Saturation
% 121.64/18.31 % (2241663)Time elapsed: 5.341 s
% 121.64/18.31 % (2241663)Peak memory usage: 166 MB
% 121.64/18.31 % (2241663)Instructions burned: 5202 (million)
% 121.64/18.31 % (2241715)------------------------------
% 121.64/18.31 % (2241715)------------------------------
% 121.64/18.31 % (2241722)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1643942262:i=319:kws=precedence:fsr=off_2925 on theBenchmark for (2925ds/319Mi)
% 121.64/18.31 % (2241724)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3275281813:i=2064:ep=RST_2923 on theBenchmark for (2923ds/2064Mi)
% 121.64/18.31 % (2241722)Instruction limit reached!
% 121.64/18.31 % (2241722)------------------------------
% 121.64/18.31 % (2241722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 121.64/18.31 % (2241722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.64/18.31 % (2241722)CaDiCaL version: 2.1.3
% 121.64/18.31 % (2241722)Termination reason: Instruction limit
% 121.64/18.31 % (2241722)Termination phase: Saturation
% 121.64/18.31 % (2241722)Time elapsed: 0.295 s
% 121.64/18.31 % (2241722)Peak memory usage: 92 MB
% 121.64/18.31 % (2241722)Instructions burned: 319 (million)
% 121.64/18.31 % (2241673)Instruction limit reached!
% 121.64/18.31 % (2241673)------------------------------
% 121.64/18.31 % (2241673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 121.64/18.31 % (2241673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.64/18.31 % (2241673)CaDiCaL version: 2.1.3
% 121.64/18.31 % (2241673)Termination reason: Instruction limit
% 121.64/18.31 % (2241673)Termination phase: Saturation
% 121.64/18.31 % (2241673)Time elapsed: 5.505 s
% 121.64/18.31 % (2241673)Peak memory usage: 173 MB
% 121.64/18.31 % (2241673)Instructions burned: 13195 (million)
% 121.64/18.31 % (2241728)dis-1011_128_sil=32000:random_seed=2768470661:i=3706:ep=RST:av=off_2919 on theBenchmark for (2919ds/3706Mi)
% 121.64/18.31 % (2241729)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2369207303:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2918 on theBenchmark for (2918ds/757Mi)
% 121.64/18.31 % (2241729)Refutation not found, incomplete strategy
% 121.64/18.31 % (2241729)------------------------------
% 121.64/18.31 % (2241729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 121.64/18.31 % (2241729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.64/18.31 % (2241729)CaDiCaL version: 2.1.3
% 121.64/18.31 % (2241729)Termination reason: Refutation not found, incomplete strategy
% 121.64/18.31 % (2241729)Time elapsed: 0.012 s
% 121.64/18.31 % (2241729)Peak memory usage: 89 MB
% 121.64/18.31 % (2241729)Instructions burned: 21 (million)
% 121.64/18.31 % (2241729)------------------------------
% 121.64/18.31 % (2241729)------------------------------
% 121.64/18.31 % (2241732)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=4030224663:i=13913:ss=axioms:sgt=8_2913 on theBenchmark for (2913ds/13913Mi)
% 148.22/21.82 % (2241686)Instruction limit reached!
% 148.22/21.82 % (2241686)------------------------------
% 148.22/21.82 % (2241686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.22/21.82 % (2241686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.22/21.82 % (2241686)CaDiCaL version: 2.1.3
% 148.22/21.82 % (2241686)Termination reason: Instruction limit
% 148.22/21.82 % (2241686)Termination phase: Saturation
% 148.22/21.82 % (2241686)Time elapsed: 6.073 s
% 148.22/21.82 % (2241686)Peak memory usage: 165 MB
% 148.22/21.82 % (2241686)Instructions burned: 6060 (million)
% 148.22/21.82 % (2241737)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3128974452:i=9925:aac=none_2904 on theBenchmark for (2904ds/9925Mi)
% 148.22/21.82 % (2241724)Instruction limit reached!
% 148.22/21.82 % (2241724)------------------------------
% 148.22/21.82 % (2241724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.22/21.82 % (2241724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.22/21.82 % (2241724)CaDiCaL version: 2.1.3
% 148.22/21.82 % (2241724)Termination reason: Instruction limit
% 148.22/21.82 % (2241724)Termination phase: Saturation
% 148.22/21.82 % (2241724)Time elapsed: 2.081 s
% 148.22/21.82 % (2241724)Peak memory usage: 113 MB
% 148.22/21.82 % (2241724)Instructions burned: 2064 (million)
% 148.22/21.82 % (2241740)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3544358274:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2899 on theBenchmark for (2899ds/2479Mi)
% 148.22/21.82 % (2241740)Refutation not found, incomplete strategy
% 148.22/21.82 % (2241740)------------------------------
% 148.22/21.82 % (2241740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.22/21.82 % (2241740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.22/21.82 % (2241740)CaDiCaL version: 2.1.3
% 148.22/21.82 % (2241740)Termination reason: Refutation not found, incomplete strategy
% 148.22/21.82 % (2241740)Time elapsed: 0.003 s
% 148.22/21.82 % (2241740)Peak memory usage: 88 MB
% 148.22/21.82 % (2241740)Instructions burned: 1 (million)
% 148.22/21.82 % (2241740)------------------------------
% 148.22/21.82 % (2241740)------------------------------
% 148.22/21.82 % (2241742)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=127815359:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2893 on theBenchmark for (2893ds/440Mi)
% 148.22/21.82 % (2241742)Instruction limit reached!
% 148.22/21.82 % (2241742)------------------------------
% 148.22/21.82 % (2241742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.22/21.82 % (2241742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.22/21.82 % (2241742)CaDiCaL version: 2.1.3
% 148.22/21.82 % (2241742)Termination reason: Instruction limit
% 148.22/21.82 % (2241742)Termination phase: Saturation
% 148.22/21.82 % (2241742)Time elapsed: 0.387 s
% 148.22/21.82 % (2241742)Peak memory usage: 94 MB
% 148.22/21.82 % (2241742)Instructions burned: 440 (million)
% 148.22/21.82 % (2241746)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3230254432:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2886 on theBenchmark for (2886ds/11145Mi)
% 148.22/21.82 % (2241728)Instruction limit reached!
% 148.22/21.82 % (2241728)------------------------------
% 148.22/21.82 % (2241728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.22/21.82 % (2241728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.22/21.82 % (2241728)CaDiCaL version: 2.1.3
% 148.22/21.82 % (2241728)Termination reason: Instruction limit
% 148.22/21.82 % (2241728)Termination phase: Saturation
% 148.22/21.82 % (2241728)Time elapsed: 3.659 s
% 148.22/21.82 % (2241728)Peak memory usage: 106 MB
% 148.22/21.82 % (2241728)Instructions burned: 3707 (million)
% 148.22/21.82 % (2241748)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2542618407:cts=off:i=3034:av=off:er=known:fsd=on_2880 on theBenchmark for (2880ds/3034Mi)
% 148.22/21.82 % (2241746)Refutation not found, incomplete strategy
% 148.22/21.82 % (2241746)------------------------------
% 148.22/21.82 % (2241746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.22/21.82 % (2241746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.22/21.82 % (2241746)CaDiCaL version: 2.1.3
% 148.22/21.82 % (2241746)Termination reason: Refutation not found, incomplete strategy
% 160.20/23.52 % (2241746)Time elapsed: 1.244 s
% 160.20/23.52 % (2241746)Peak memory usage: 130 MB
% 160.20/23.52 % (2241746)Instructions burned: 1251 (million)
% 160.20/23.52 % (2241746)------------------------------
% 160.20/23.52 % (2241746)------------------------------
% 160.20/23.52 % (2241750)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1577880606:st=2:s2a=on:i=524:s2at=2:ss=axioms_2866 on theBenchmark for (2866ds/524Mi)
% 160.20/23.52 % (2241750)Refutation not found, incomplete strategy
% 160.20/23.52 % (2241750)------------------------------
% 160.20/23.52 % (2241750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.52 % (2241750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.52 % (2241750)CaDiCaL version: 2.1.3
% 160.20/23.52 % (2241750)Termination reason: Refutation not found, incomplete strategy
% 160.20/23.52 % (2241750)Time elapsed: 0.041 s
% 160.20/23.52 % (2241750)Peak memory usage: 89 MB
% 160.20/23.52 % (2241750)Instructions burned: 39 (million)
% 160.20/23.52 % (2241750)------------------------------
% 160.20/23.52 % (2241750)------------------------------
% 160.20/23.52 % (2241752)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3935289497:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2859 on theBenchmark for (2859ds/1016Mi)
% 160.20/23.52 % (2241752)Refutation not found, incomplete strategy
% 160.20/23.52 % (2241752)------------------------------
% 160.20/23.52 % (2241752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.52 % (2241752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.52 % (2241752)CaDiCaL version: 2.1.3
% 160.20/23.52 % (2241752)Termination reason: Refutation not found, incomplete strategy
% 160.20/23.52 % (2241752)Time elapsed: 0.003 s
% 160.20/23.52 % (2241752)Peak memory usage: 89 MB
% 160.20/23.52 % (2241737)Instruction limit reached!
% 160.20/23.52 % (2241737)------------------------------
% 160.20/23.52 % (2241737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.52 % (2241737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.52 % (2241737)CaDiCaL version: 2.1.3
% 160.20/23.52 % (2241737)Termination reason: Instruction limit
% 160.20/23.52 % (2241737)Termination phase: Saturation
% 160.20/23.52 % (2241737)Time elapsed: 4.706 s
% 160.20/23.52 % (2241737)Peak memory usage: 171 MB
% 160.20/23.52 % (2241737)Instructions burned: 9927 (million)
% 160.20/23.52 % (2241752)------------------------------
% 160.20/23.52 % (2241752)------------------------------
% 160.20/23.52 % (2241754)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1959102641:i=14123:bd=preordered:ins=4_2854 on theBenchmark for (2854ds/14123Mi)
% 160.20/23.52 % (2241755)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=756971027:i=5781:kws=precedence:bd=all:rawr=on_2852 on theBenchmark for (2852ds/5781Mi)
% 160.20/23.52 % (2241748)Instruction limit reached!
% 160.20/23.52 % (2241748)------------------------------
% 160.20/23.52 % (2241748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.52 % (2241748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.52 % (2241748)CaDiCaL version: 2.1.3
% 160.20/23.52 % (2241748)Termination reason: Instruction limit
% 160.20/23.52 % (2241748)Termination phase: Saturation
% 160.20/23.52 % (2241748)Time elapsed: 3.090 s
% 160.20/23.52 % (2241748)Peak memory usage: 136 MB
% 160.20/23.52 % (2241748)Instructions burned: 3034 (million)
% 160.20/23.52 % (2241760)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=235335982:i=2448:gtgl=5:bd=preordered:gtg=all_2846 on theBenchmark for (2846ds/2448Mi)
% 160.20/23.52 % (2241760)Refutation not found, incomplete strategy
% 160.20/23.52 % (2241760)------------------------------
% 160.20/23.52 % (2241760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.52 % (2241760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.52 % (2241760)CaDiCaL version: 2.1.3
% 160.20/23.52 % (2241760)Termination reason: Refutation not found, incomplete strategy
% 160.20/23.52 % (2241760)Time elapsed: 1.357 s
% 160.20/23.52 % (2241760)Peak memory usage: 132 MB
% 160.20/23.52 % (2241760)Instructions burned: 1230 (million)
% 160.20/23.52 % (2241760)------------------------------
% 160.20/23.52 % (2241760)------------------------------
% 160.20/23.52 % (2241696)Instruction limit reached!
% 160.20/23.52 % (2241696)------------------------------
% 160.20/23.52 % (2241696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241696)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241696)Termination reason: Instruction limit
% 141.84/27.84 % (2241696)Termination phase: Saturation
% 141.84/27.84 % (2241696)Time elapsed: 13.572 s
% 141.84/27.84 % (2241696)Peak memory usage: 172 MB
% 141.84/27.84 % (2241696)Instructions burned: 14156 (million)
% 141.84/27.84 % (2241766)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=4253265772:i=3223:kws=precedence:fgj=on:av=off_2826 on theBenchmark for (2826ds/3223Mi)
% 141.84/27.84 % (2241767)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=28644508:st=5.6:i=2033:sd=3:ss=axioms_2825 on theBenchmark for (2825ds/2033Mi)
% 141.84/27.84 % (2241755)Instruction limit reached!
% 141.84/27.84 % (2241755)------------------------------
% 141.84/27.84 % (2241755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241755)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241755)Termination reason: Instruction limit
% 141.84/27.84 % (2241755)Termination phase: Saturation
% 141.84/27.84 % (2241755)Time elapsed: 3.253 s
% 141.84/27.84 % (2241755)Peak memory usage: 90 MB
% 141.84/27.84 % (2241755)Instructions burned: 5782 (million)
% 141.84/27.84 % (2241771)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3859907199:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2817 on theBenchmark for (2817ds/2055Mi)
% 141.84/27.84 % (2241767)Instruction limit reached!
% 141.84/27.84 % (2241767)------------------------------
% 141.84/27.84 % (2241767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241767)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241767)Termination reason: Instruction limit
% 141.84/27.84 % (2241767)Termination phase: Saturation
% 141.84/27.84 % (2241767)Time elapsed: 2.213 s
% 141.84/27.84 % (2241767)Peak memory usage: 139 MB
% 141.84/27.84 % (2241767)Instructions burned: 2033 (million)
% 141.84/27.84 % (2241754)Instruction limit reached!
% 141.84/27.84 % (2241754)------------------------------
% 141.84/27.84 % (2241754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241754)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241754)Termination reason: Instruction limit
% 141.84/27.84 % (2241754)Termination phase: Saturation
% 141.84/27.84 % (2241754)Time elapsed: 5.212 s
% 141.84/27.84 % (2241754)Peak memory usage: 138 MB
% 141.84/27.84 % (2241754)Instructions burned: 14127 (million)
% 141.84/27.84 % (2241773)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3506220358:i=21611:sd=3:ss=axioms_2800 on theBenchmark for (2800ds/21611Mi)
% 141.84/27.84 % (2241774)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=3131777488:i=4835:sd=13:ss=axioms:sgt=23_2799 on theBenchmark for (2799ds/4835Mi)
% 141.84/27.84 % (2241771)Instruction limit reached!
% 141.84/27.84 % (2241771)------------------------------
% 141.84/27.84 % (2241771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241771)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241771)Termination reason: Instruction limit
% 141.84/27.84 % (2241771)Termination phase: Saturation
% 141.84/27.84 % (2241771)Time elapsed: 2.059 s
% 141.84/27.84 % (2241771)Peak memory usage: 134 MB
% 141.84/27.84 % (2241771)Instructions burned: 2055 (million)
% 141.84/27.84 % (2241732)Instruction limit reached!
% 141.84/27.84 % (2241732)------------------------------
% 141.84/27.84 % (2241732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241732)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241732)Termination reason: Instruction limit
% 141.84/27.84 % (2241732)Termination phase: Saturation
% 141.84/27.84 % (2241732)Time elapsed: 11.892 s
% 141.84/27.84 % (2241732)Peak memory usage: 192 MB
% 141.84/27.84 % (2241732)Instructions burned: 13915 (million)
% 141.84/27.84 % (2241766)Instruction limit reached!
% 141.84/27.84 % (2241766)------------------------------
% 141.84/27.84 % (2241766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241766)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241766)Termination reason: Instruction limit
% 141.84/27.84 % (2241766)Termination phase: Saturation
% 141.84/27.84 % (2241766)Time elapsed: 3.286 s
% 141.84/27.84 % (2241766)Peak memory usage: 144 MB
% 141.84/27.84 % (2241766)Instructions burned: 3224 (million)
% 141.84/27.84 % (2241779)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=1246514909:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2793 on theBenchmark for (2793ds/797Mi)
% 141.84/27.84 % (2241780)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=2672784628:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2792 on theBenchmark for (2792ds/2326Mi)
% 141.84/27.84 % (2241780)Refutation not found, incomplete strategy
% 141.84/27.84 % (2241780)------------------------------
% 141.84/27.84 % (2241780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241780)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241780)Termination reason: Refutation not found, incomplete strategy
% 141.84/27.84 % (2241780)Time elapsed: 0.009 s
% 141.84/27.84 % (2241780)Peak memory usage: 89 MB
% 141.84/27.84 % (2241780)Instructions burned: 7 (million)
% 141.84/27.84 % (2241782)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=544027265:i=6038:nm=6_2790 on theBenchmark for (2790ds/6038Mi)
% 141.84/27.84 % (2241780)------------------------------
% 141.84/27.84 % (2241780)------------------------------
% 141.84/27.84 % (2241779)Instruction limit reached!
% 141.84/27.84 % (2241779)------------------------------
% 141.84/27.84 % (2241779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241779)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241779)Termination reason: Instruction limit
% 141.84/27.84 % (2241779)Termination phase: Saturation
% 141.84/27.84 % (2241779)Time elapsed: 0.642 s
% 141.84/27.84 % (2241779)Peak memory usage: 90 MB
% 141.84/27.84 % (2241779)Instructions burned: 797 (million)
% 141.84/27.84 % (2241786)lrs+10_1_sil=32000:sp=occurrence:random_seed=1175662073:st=2:i=33334:sd=3:ss=included:sgt=32_2785 on theBenchmark for (2785ds/33334Mi)
% 141.84/27.84 % (2241788)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=46088770:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2784 on theBenchmark for (2784ds/1008Mi)
% 141.84/27.84 % (2241788)Refutation not found, incomplete strategy
% 141.84/27.84 % (2241788)------------------------------
% 141.84/27.84 % (2241788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241788)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241788)Termination reason: Refutation not found, incomplete strategy
% 141.84/27.84 % (2241788)Time elapsed: 0.017 s
% 141.84/27.84 % (2241788)Peak memory usage: 88 MB
% 141.84/27.84 % (2241788)Instructions burned: 12 (million)
% 141.84/27.84 % (2241782)Refutation not found, incomplete strategy
% 141.84/27.84 % (2241782)------------------------------
% 141.84/27.84 % (2241782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241782)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241782)Termination reason: Refutation not found, incomplete strategy
% 141.84/27.84 % (2241782)Time elapsed: 0.943 s
% 141.84/27.84 % (2241782)Peak memory usage: 129 MB
% 141.84/27.84 % (2241782)Instructions burned: 904 (million)
% 141.84/27.84 % (2241788)------------------------------
% 141.84/27.84 % (2241788)------------------------------
% 141.84/27.84 % (2241782)------------------------------
% 141.84/27.84 % (2241782)------------------------------
% 141.84/27.84 % (2241791)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=3793074836:i=8327:s2at=5:bd=preordered_2777 on theBenchmark for (2777ds/8327Mi)
% 141.84/27.84 % (2241774)Instruction limit reached!
% 141.84/27.84 % (2241774)------------------------------
% 141.84/27.84 % (2241774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241774)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241774)Termination reason: Instruction limit
% 141.84/27.84 % (2241774)Termination phase: Saturation
% 141.84/27.84 % (2241774)Time elapsed: 2.359 s
% 141.84/27.84 % (2241774)Peak memory usage: 127 MB
% 141.84/27.84 % (2241774)Instructions burned: 4836 (million)
% 141.84/27.84 % (2241792)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=2067218510:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2775 on theBenchmark for (2775ds/1083Mi)
% 141.84/27.84 % (2241794)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1370791849:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2773 on theBenchmark for (2773ds/1084Mi)
% 141.84/27.84 % (2241794)Instruction limit reached!
% 141.84/27.84 % (2241794)------------------------------
% 141.84/27.84 % (2241794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241794)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241794)Termination reason: Instruction limit
% 141.84/27.84 % (2241794)Termination phase: Saturation
% 141.84/27.84 % (2241794)Time elapsed: 0.466 s
% 141.84/27.84 % (2241794)Peak memory usage: 90 MB
% 141.84/27.84 % (2241794)Instructions burned: 1085 (million)
% 141.84/27.84 % (2241797)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1556322503:i=6995:s2at=5:gtg=all_2766 on theBenchmark for (2766ds/6995Mi)
% 141.84/27.84 % (2241792)Instruction limit reached!
% 141.84/27.84 % (2241792)------------------------------
% 141.84/27.84 % (2241792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241792)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241792)Termination reason: Instruction limit
% 141.84/27.84 % (2241792)Termination phase: Saturation
% 141.84/27.84 % (2241792)Time elapsed: 0.887 s
% 141.84/27.84 % (2241792)Peak memory usage: 97 MB
% 141.84/27.84 % (2241792)Instructions burned: 1083 (million)
% 141.84/27.84 % (2241799)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=3012347783:st=2:i=6225:sd=15:ss=axioms_2763 on theBenchmark for (2763ds/6225Mi)
% 141.84/27.84 % (2241799)Refutation not found, incomplete strategy
% 141.84/27.84 % (2241799)------------------------------
% 141.84/27.84 % (2241799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241799)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241799)Termination reason: Refutation not found, incomplete strategy
% 141.84/27.84 % (2241799)Time elapsed: 0.004 s
% 141.84/27.84 % (2241799)Peak memory usage: 89 MB
% 141.84/27.84 % (2241799)Instructions burned: 3 (million)
% 141.84/27.84 % (2241799)------------------------------
% 141.84/27.84 % (2241799)------------------------------
% 141.84/27.84 % (2241801)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=433087892:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2757 on theBenchmark for (2757ds/3372Mi)
% 141.84/27.84 % (2241801)Refutation not found, incomplete strategy
% 141.84/27.84 % (2241801)------------------------------
% 141.84/27.84 % (2241801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.84/27.84 % (2241801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.84/27.84 % (2241801)CaDiCaL version: 2.1.3
% 141.84/27.84 % (2241801)Termination reason: Refutation not found, incomplete strategy
% 141.84/27.84 % (2241801)Time elapsed: 0.863 s
% 141.84/27.84 % (2241801)Peak memory usage: 128 MB
% 141.84/27.84 % (2241801)Instructions burned: 854 (million)
% 141.84/27.84 % (2241801)------------------------------
% 141.84/27.84 % (2241801)------------------------------
% 141.84/27.84 % (2241803)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=2182257568:st=2.3:i=26457:sd=10:ss=included:sgt=8_2742 on theBenchmark for (2742ds/26457Mi)
% 141.84/27.84 % (2241622)First to succeed.
% 141.84/27.84 % (2241622)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2241616"
% 141.84/27.84 % (2241622)Refutation found. Thanks to Tanya!
% 141.84/27.84 % SZS status Theorem for theBenchmark
% 141.84/27.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/28.06 % (2241622)------------------------------
% 0.30/28.06 % (2241622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/28.06 % (2241622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/28.06 % (2241622)CaDiCaL version: 2.1.3
% 0.30/28.06 % (2241622)Termination reason: Refutation
% 0.30/28.06 % (2241622)Time elapsed: 26.181 s
% 0.30/28.06 % (2241622)Peak memory usage: 274 MB
% 0.30/28.06 % (2241622)Instructions burned: 28656 (million)
% 0.30/28.06 % (2241622)------------------------------
% 0.30/28.06 % (2241622)------------------------------
% 0.30/28.06 % (2241616)Success in time 26.923 s
% 0.30/28.06 % Vampire exiting
%------------------------------------------------------------------------------